Rahasia Ilmu Eksakta

Determinan Matriks Dengan Berbagai Ordo

<div dir="ltr" style="text-align: left;" trbidi="on"><div class="MsoNormal" style="text-align: justify;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiE8r8_Ali6G5ZVkTydeCGeBd-IoriexsPm0FtT1JmiTqwt-gqGw2952qVEvESW9ZpUZ4mvM460LIgj93ux5NYaQKHtLayRwsDnbz_0Yjxe6-5GCW0-hwIIeBHCAEUyFYAuwOLEAPpBar4/s1600/images+%25281%2529.jpg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="determinan (allmipa.com)" border="0" height="200" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiE8r8_Ali6G5ZVkTydeCGeBd-IoriexsPm0FtT1JmiTqwt-gqGw2952qVEvESW9ZpUZ4mvM460LIgj93ux5NYaQKHtLayRwsDnbz_0Yjxe6-5GCW0-hwIIeBHCAEUyFYAuwOLEAPpBar4/s200/images+%25281%2529.jpg" title="determinan (allmipa.com)" width="198" /></a></div><span style="background: rgb(248 , 248 , 248); font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><br /></span><span style="background: rgb(248 , 248 , 248); font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;">Determinan matriks adalah jumlah semua hasil perkalian elementer yang bertanda dari A dan dinyatakan dengan det(A). </span><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><o:p></o:p></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background: rgb(248 , 248 , 248); font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background: rgb(248 , 248 , 248); font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;">Determinan Matriks Persegi:</span></div><div style="text-align: justify;"><br /></div><div style="text-align: justify;"><b>a.)  Determinan matriks ordo 2 x 2</b></div><div><div style="text-align: justify;">Matriks berordo 2 × 2 yang terdiri <br /><a name='more'></a>atas dua baris dan dua kolom. Pada bagian ini akan dibahas determinan dari suatu matriks berordo 2 × 2. Misalkan A adalah matriks persegi ordo 2 × 2 dengan bentuk<br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg3bPJMePynu08Ozg1XuTRvXwbkL3O7dDD6xd2ZiKgnB5AWQVYGDAFzD9RYsSZjoChx1F9-Jz1IFeOAJn5r-zOwye2oEMrW_-oxurAmCSFnNqNzwd3JCp-afB-NB1kw5ZGHlqYkcbs6sBc/s1600/a.jpg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em; text-align: justify;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg3bPJMePynu08Ozg1XuTRvXwbkL3O7dDD6xd2ZiKgnB5AWQVYGDAFzD9RYsSZjoChx1F9-Jz1IFeOAJn5r-zOwye2oEMrW_-oxurAmCSFnNqNzwd3JCp-afB-NB1kw5ZGHlqYkcbs6sBc/s1600/a.jpg" /></a></div>Determinan matriks A di definisikan sebagai selisih antara perkalian elemen-elemen pada diagonal utama dengan perkalian elemen-elemen pada diagonal sekunder. Determinan dari matriks A dinotasikan dengan det A atau |A|. Nilai dari determinan suatu matriks berupa bilangan real. Berdasarkan definisi determinan suatu matriks, Anda bisa mencari nilai determinan dari matriks A, yaitu:</div></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgVpcneDXAXNbaZMisfrdfeTaQx6FR0Av6RmTR5k48p_0Ol6C9C_eXCjwu4YZf4vXhfF1CVK5nEpQwp0of6XDzMwgRNhyphenhyphen_zg9gRp_0k7IUO_9LsQx918NibL6NWczNXuE20lSg6Msck1nU/s1600/determinan.jpg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em; text-align: justify;"><img border="0" height="48" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgVpcneDXAXNbaZMisfrdfeTaQx6FR0Av6RmTR5k48p_0Ol6C9C_eXCjwu4YZf4vXhfF1CVK5nEpQwp0of6XDzMwgRNhyphenhyphen_zg9gRp_0k7IUO_9LsQx918NibL6NWczNXuE20lSg6Msck1nU/s320/determinan.jpg" width="320" /></a></div><div style="text-align: justify;"><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEigovoCU81rCpOUy-34T0XAiOIj3Y-uZv1cDXHEL-VNrdN1iolzFRegoA1RC5pY53sMXfjZejfD0Vcl2aw1ISl_nrSb3Q6V8dyaZ0NpYpRFjIlnbYQC5BKwK__j1xDXYLwy-qf5x9oPkAw/s1600/contoh+determinan.jpg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em; text-align: justify;"><img border="0" height="73" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEigovoCU81rCpOUy-34T0XAiOIj3Y-uZv1cDXHEL-VNrdN1iolzFRegoA1RC5pY53sMXfjZejfD0Vcl2aw1ISl_nrSb3Q6V8dyaZ0NpYpRFjIlnbYQC5BKwK__j1xDXYLwy-qf5x9oPkAw/s400/contoh+determinan.jpg" width="400" /></a></div><div style="text-align: justify;"><br /></div><div style="text-align: justify;"><br /></div><div style="text-align: justify;"><br /></div><div style="text-align: justify;"><b><br /></b></div><div style="text-align: justify;"><b><br /></b></div><div style="text-align: justify;"><b><br /></b><b><br /></b><b>b.) Determinan Matriks Ordo 3 x 3</b></div><div style="text-align: justify;">Misalkan A matriks persegi berordo 3 × 3 dengan bentuk:</div><div class="separator" style="clear: both; text-align: justify;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiNhcIkj-csGuoLKiyb29gmFaDNdW0sh1EQPQYKcEpU1mDF1VF6zRMv_HeWgnxSOf7C-WspyyeiKBx_PJ48Yn7T9XDEQpKIYNTZhOkSH16VMKdSSx0NfnWH5QtJ1b-vZIy7eCVyRTvhtDY/s1600/dengan+bentuk.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiNhcIkj-csGuoLKiyb29gmFaDNdW0sh1EQPQYKcEpU1mDF1VF6zRMv_HeWgnxSOf7C-WspyyeiKBx_PJ48Yn7T9XDEQpKIYNTZhOkSH16VMKdSSx0NfnWH5QtJ1b-vZIy7eCVyRTvhtDY/s1600/dengan+bentuk.jpg" /></a></div><div style="text-align: justify;"><br /></div><div style="text-align: justify;">Untuk mencari determinan dari matriks persegi berordo 3 × 3, akan digunakan suatu metode yang dinamakan <i>metode Sarrus</i>. Adapun langkah-langkah yang harus di lakukan untuk mencari determinan matriks berordo 3 × 3 dengan <i>metode Sarrus</i> adalah sebagai berikut: </div><div style="text-align: justify;"><br /></div><div style="text-align: justify;">1.        Salin kembali kolom pertama dan kolom kedua matriks A di     sebelah  kanan tanda determinan. </div><div style="text-align: justify;"><br /></div><div style="text-align: justify;">2.        Hitunglah jumlah hasil kali elemen-elemen pada diagonal utama        dan diagonal lain yang sejajar dengan diagonal utama (lihat gambar). Nyatakan jumlah hasil kali tersebut dengan <i>Du</i></div><div class="separator" style="clear: both; text-align: justify;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiRcTiCaJsOF2_G7rXmIJDD4JkMpIunzAPxd7XXjOf6MVUAW5W3rPU61PGgzaNloe9QGNq6L2mEfNI8NnOS4DOGSjBsHYax04ql-J9YEh98ObNnHXYqzzXtXjSR9_rJjZuWvmIMIbfKwTQ/s1600/D2.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiRcTiCaJsOF2_G7rXmIJDD4JkMpIunzAPxd7XXjOf6MVUAW5W3rPU61PGgzaNloe9QGNq6L2mEfNI8NnOS4DOGSjBsHYax04ql-J9YEh98ObNnHXYqzzXtXjSR9_rJjZuWvmIMIbfKwTQ/s1600/D2.jpg" /></a></div><div style="text-align: justify;"><i><br /></i></div><div style="text-align: justify;">3.        Hitunglah jumlah hasil kali elemen-elemen pada diagonal sekunder dan diagonal lain yang sejajar dengan diagonal sekunder (lihar gambar). Nyatakan jumlah hasil harga tersebut dengan <i>Ds</i>.</div><div class="separator" style="clear: both; text-align: justify;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgyAULE66Aj6L_IyxOMF4_G4vyocq59assC39FiNIBs9b2zTkIdhut-_lac3hcahfiHjZHXPQ674LzCWwux-wUbN0-hwUoReY-S0HAqGZtZtew65NpGM8f8PgOugL7CklVIJ8mnLEVNjlM/s1600/D3.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgyAULE66Aj6L_IyxOMF4_G4vyocq59assC39FiNIBs9b2zTkIdhut-_lac3hcahfiHjZHXPQ674LzCWwux-wUbN0-hwUoReY-S0HAqGZtZtew65NpGM8f8PgOugL7CklVIJ8mnLEVNjlM/s1600/D3.jpg" /></a></div><div style="text-align: justify;"><br /></div><div style="text-align: justify;">4.        Sesuai dengan defi nisi determinan matriks maka determinan dari matriks A adalah selisih antara <i>Du</i> dan <i>Ds</i> yaitu <i>Du – Ds.</i><br /><div class="separator" style="clear: both; font-style: italic; text-align: justify;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiYrHMs0c5ndgpNuP9h9SuUJl89OgRqGsWvN11GlpRdGAmakWXUD8h5ja72784CFIeQ31nSZbxlZhXcm8IEGQhi6b91D-fYIjdEKm267UbjorcNuMjXjbOFekzifmNLUhCFNFYYxfM0rAo/s1600/D4.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiYrHMs0c5ndgpNuP9h9SuUJl89OgRqGsWvN11GlpRdGAmakWXUD8h5ja72784CFIeQ31nSZbxlZhXcm8IEGQhi6b91D-fYIjdEKm267UbjorcNuMjXjbOFekzifmNLUhCFNFYYxfM0rAo/s1600/D4.jpg" /></a></div><div class="separator" style="clear: both; text-align: justify;">Setelah melihat langkah-langkah metode sarrus diatas. Sebaiknya untuk lebih jelasnya lagi kalian lihat contoh di bawah ini:</div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhyLz9VzMX_jLqeNf_rwG8_dpJL4wHqKmxmtiHdgtJKJkiQtauUev4zp0lpIm_twVraCXwOd91MnKy3pesmmPzEwGQ_aWF0S66UKcrlGextBQQT2KrDTcJrJu4AUGrG6HAMMS46CxndGEs/s1600/DC.jpg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em; text-align: justify;"><img border="0" height="285" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhyLz9VzMX_jLqeNf_rwG8_dpJL4wHqKmxmtiHdgtJKJkiQtauUev4zp0lpIm_twVraCXwOd91MnKy3pesmmPzEwGQ_aWF0S66UKcrlGextBQQT2KrDTcJrJu4AUGrG6HAMMS46CxndGEs/s400/DC.jpg" width="400" /></a></div><div class="separator" style="clear: both; text-align: justify;">Mencari determinan matriks ordo 3 x 3 ini tidak hanya menggunakan metode sarrus saja akan tetapi bisa juga dengan cara kofaktor, silahkan dilihat contohnya:</div><div class="separator" style="clear: both; text-align: justify;">Contoh:</div><div class="separator" style="clear: both; text-align: left;"></div><div style="text-align: justify;"><span style="color: windowtext; font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 115%;">Tentukan determinan matriks </span></div><span style="color: windowtext; font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 115%;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgcd3JzCvmVxgN9Z8KNVUr8apSiItLDGGkwUMqhX6s4tEksoludV7XCmcoBNG19YtcvvrT6Gv6LyU1TE_OJAYmjffYE8Z_0If6UFNjDSDCkmkXb9aIlyfSSah7c5A-QkNcfLKhyphenhyphen5O9r74c/s1600/K1.jpg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em; text-align: justify;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgcd3JzCvmVxgN9Z8KNVUr8apSiItLDGGkwUMqhX6s4tEksoludV7XCmcoBNG19YtcvvrT6Gv6LyU1TE_OJAYmjffYE8Z_0If6UFNjDSDCkmkXb9aIlyfSSah7c5A-QkNcfLKhyphenhyphen5O9r74c/s1600/K1.jpg" /></a></div><div style="text-align: justify;"><span style="color: windowtext; font-size: 12pt; line-height: 115%;"> </span></div></span><br /><div class="separator" style="clear: both; text-align: center;"></div><div class="" style="clear: both; text-align: left;"></div><div style="text-align: justify;"><span style="color: windowtext; font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 115%;">Penyelesaian:</span></div><div style="color: windowtext; font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 115%; text-align: justify;"><span style="color: windowtext; font-size: 12pt; line-height: 115%;">Menggunakan yang diberikan pada Teorema diatas dengan mengambil i = 3 dan j = 1, 2, dan 3, maka diperoleh.</span></div><div style="text-align: justify;"><span style="font-family: 'Times New Roman', serif; line-height: 18.4px;"><br /></span></div><br /><div class="separator" style="clear: both; text-align: left;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEirlUsBxXMVsV17nfi5x6DtuOakwJH-TW6Aazp24kE1XXQHoe-Fa4JyYSwk64TouLUg27Gy5AIblVPApNll_wlkLz6azSCcWB8S0dkir1bzLXt58R8O79i88KrfrUQH4Qg40-dq3MukVc4/s1600/K2.jpg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em; text-align: justify;"><img border="0" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEirlUsBxXMVsV17nfi5x6DtuOakwJH-TW6Aazp24kE1XXQHoe-Fa4JyYSwk64TouLUg27Gy5AIblVPApNll_wlkLz6azSCcWB8S0dkir1bzLXt58R8O79i88KrfrUQH4Qg40-dq3MukVc4/s400/K2.jpg" width="305" /></a></div><div class="separator" style="clear: both; text-align: justify;"><br /></div><div class="separator" style="clear: both; text-align: justify;">Setelah kita belajar tentang determinan suatu matriks. Alangkah baiknya kalian mempelajari matriks lebih dalam lagi yaitu tentang Invers Matriks. <b>Buka Link Invers Matriks</b></div></div></div>

Determinan matriks adalah jumlah semua hasil perkalian elementer yang bertanda dari A dan dinyatakan dengan det(A). Determinan Matriks Persegi:a.) Determinan matriks ordo 2 x 2Matriks berordo 2 × 2 y...

03Jun2016

Perkalian Skalar Matriks dan Perkalian Matriks Dengan Ordo Sama maupun Berbeda

June 03, 2016 contoh , hitung , matriks , operasi , ordo , pembahasan , Perkalian , Rumus , sifat , skalar , Soal

<div dir="ltr" style="text-align: left;" trbidi="on"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi3ggeYWcJxme7y5KvxyoFiAgQ86ntKXpzeS4uUo0qRwvUAI9Hh2nVf2KPaYKx3F0WXDM7raalFepCTBuh6gN5BHop1c4Cm9r5FqBCX9747yI6ueVVvQ-NOj1zuO_7_O74Kuq5JdF1Xi5A/s1600/matriks+kali.jpg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" height="184" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi3ggeYWcJxme7y5KvxyoFiAgQ86ntKXpzeS4uUo0qRwvUAI9Hh2nVf2KPaYKx3F0WXDM7raalFepCTBuh6gN5BHop1c4Cm9r5FqBCX9747yI6ueVVvQ-NOj1zuO_7_O74Kuq5JdF1Xi5A/s200/matriks+kali.jpg" width="200" /></a></div><div class="MsoNormal" style="text-align: justify;"><span style="background: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;">Cara Mencari Rumus Perkalian Matriks mempunyai Metode yang sangat berbeda dengan Operasi hitung penjumlahan atau pengurangan Matriks, Metode yg diterapkan dalam Menghitung Perkalian Matriks adalah dengan memasangkan baris pada matriks pertama dengan kolom pada matriks kedua, Tetapi kedua nilai Matriks ini bisa </span></div><a name='more'></a>dikalikan jika banyak kolom pada matriks pertama mempunyai nilai yang sama dengan banyak baris pada matriks kedua. Dan hasil perkalian matriks akan mempunyai baris yang sama banyak dengan baris matriks pertama.<span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><o:p></o:p></span><br /><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;">Akan tetapi sebelum kalian memasuki lebih jauh tentang perklaian matriks. Untuk lebih jelasnya dan lebih memahaminya kalian harus tahu tentang sifat-sifat perkalian matriks.</span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><br /></span></div><div class="separator" style="clear: both; text-align: justify;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEisSJqbahkiubfqllzZiWRlxjdehbLMh7C9yG3Ljlk2IG-NhJcvtyMIUcidFv40YBHaN7pvrjOo_Qm0dfIl9rgGWFNSsqqPzzGmpXEcLuokLEspJIGhTzl_W_TLvh0FChx6RTWZpRqPPbk/s1600/matriks+sifat.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="216" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEisSJqbahkiubfqllzZiWRlxjdehbLMh7C9yG3Ljlk2IG-NhJcvtyMIUcidFv40YBHaN7pvrjOo_Qm0dfIl9rgGWFNSsqqPzzGmpXEcLuokLEspJIGhTzl_W_TLvh0FChx6RTWZpRqPPbk/s320/matriks+sifat.jpg" width="320" /></a></div><div class="MsoNormal" style="text-align: justify;"><span style="background: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;">Nah, setelah melihat sifat-sifat perkalian matriks diatas, mari kita lanjutkan pembahasan materi matriks tentang perkalian skalar matriks dan perkalian matriks dengan ordo sama dan ordo berbeda:</span></div><div class="MsoNormal" style="text-align: justify;"><br /></div><div class="MsoNormal" style="text-align: justify;"><span style="background: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><b>a). Perkalian Skalar Pada Matriks</b></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;">Untuk Rumus Perkalian Skalar Matriks dilakukan dengan cara konstanta yang artinya nilai matriks bisa dikalikan dengan cara mengalikan setiap elemen atau komponen nilai matriks dengan skalar. Misalnya nilai Matriks A dikalikan dg skalar K maka setiap elemen atau komponen Matriks A dikali dengan K.</span></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg18yxvO-ras3tNegsVkQ0EIlntdwDr6KPArA0ddKgvln6gpUZrVPoqPvVJIaIYQvPLxvIKeL0v2FDN91e-xlO2unF6inW1XQEhM4dg7kOcFNEcPi3GjS5IQ0gvgZUjQEnEERRas1eEiEo/s1600/matriks+2a.jpg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em; text-align: justify;"><img border="0" height="61" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg18yxvO-ras3tNegsVkQ0EIlntdwDr6KPArA0ddKgvln6gpUZrVPoqPvVJIaIYQvPLxvIKeL0v2FDN91e-xlO2unF6inW1XQEhM4dg7kOcFNEcPi3GjS5IQ0gvgZUjQEnEERRas1eEiEo/s200/matriks+2a.jpg" width="200" /></a></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;">Contoh soal:</span></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhPnWS8wBZIRamfaDgxviueD4TUFNFZPuCjvGqYtYEJQTY7whItKXrmm8_ZZP1vU_eh1AXPhZQiPq8oZFb48d7199XsCy8qrrUPWkKiBnidO0PoQQQxnEGuZJ7pMh1RANrvc4Ph4ver5IM/s1600/matriks+skalar.jpg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em; text-align: justify;"><img border="0" height="50" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhPnWS8wBZIRamfaDgxviueD4TUFNFZPuCjvGqYtYEJQTY7whItKXrmm8_ZZP1vU_eh1AXPhZQiPq8oZFb48d7199XsCy8qrrUPWkKiBnidO0PoQQQxnEGuZJ7pMh1RANrvc4Ph4ver5IM/s400/matriks+skalar.jpg" width="400" /></a></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><b>b), Perkalian Matriks dengan Ordo yang sama dan Ordo Berbeda</b></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif;"><span style="background-color: white; line-height: 20.4px;">Cara untuk mengalikan matriks dengan ordo yang sama yaitu seperti yang dijelaskan ulasan diawal artikel ini, Bahwa perkalian matriks caranya dengan mengalikan tiap elemen pada baris pertama di matriks A dengan elemen di kolom pertama matriks B. Untuk lebih jelasnya simak contoh di bawah ini:</span></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif;"><span style="background-color: white; line-height: 20.4px;">Contoh:</span></span></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEioRHJtTRIvEILgvG1a3E92A9uBoHC9uVykHdWldPgxsCLHcoYTlzatAXTv9ukJVTxR2QFM6aErm7FSjV8GOhm26RTvqh4pwcFuu7Gh8k9koCqve41TCDMkbgwxjydL7cMZr-JYbvK_RBY/s1600/perklian+matriks.jpg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em; text-align: justify;"><img border="0" height="239" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEioRHJtTRIvEILgvG1a3E92A9uBoHC9uVykHdWldPgxsCLHcoYTlzatAXTv9ukJVTxR2QFM6aErm7FSjV8GOhm26RTvqh4pwcFuu7Gh8k9koCqve41TCDMkbgwxjydL7cMZr-JYbvK_RBY/s320/perklian+matriks.jpg" width="320" /></a></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif;"><span style="background-color: white; line-height: 20.4px;"><br /></span></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEir6y5kQR22bZvOc5YcHfprRDnAzCvrM1ZcWyR51IB0Mq8K8ngjT8_VWtn7eWUmHEcm-2yQd9178AcxLRwfkBaMTNG_DD3h8oEvmH2UzGCGSeMFd5l-oc0qnt5fOhDPP2rkBwWT4sJ4shc/s1600/perkalian+matriks+2.jpg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em; text-align: justify;"><img border="0" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEir6y5kQR22bZvOc5YcHfprRDnAzCvrM1ZcWyR51IB0Mq8K8ngjT8_VWtn7eWUmHEcm-2yQd9178AcxLRwfkBaMTNG_DD3h8oEvmH2UzGCGSeMFd5l-oc0qnt5fOhDPP2rkBwWT4sJ4shc/s640/perkalian+matriks+2.jpg" width="379" /></a></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="background-color: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 15.3pt;"><br /></span></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj30_l4AVXRiFAi0ZR4lmlSJb2FovcdAV1IBrfE405uIWqUnXZRyKgo35dN0SMVody5TbJpWj_LQ9oM417FqGEn5cVtXiU1jofnQNN8jQYzDanje41XAx7OSCD9kh0hsqMnQA4x52OB_lQ/s1600/perkalian+matriks+3.jpg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em; text-align: justify;"><img border="0" height="311" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj30_l4AVXRiFAi0ZR4lmlSJb2FovcdAV1IBrfE405uIWqUnXZRyKgo35dN0SMVody5TbJpWj_LQ9oM417FqGEn5cVtXiU1jofnQNN8jQYzDanje41XAx7OSCD9kh0hsqMnQA4x52OB_lQ/s400/perkalian+matriks+3.jpg" width="400" /></a></div><div class="MsoNormal" style="text-align: justify;"><br /></div><div class="MsoNormal" style="text-align: justify;"><br /></div><div class="MsoNormal" style="text-align: justify;"><br /></div><div class="MsoNormal" style="text-align: justify;"><br /></div><div class="MsoNormal" style="text-align: justify;"><br /></div><div class="MsoNormal" style="text-align: justify;"><br /></div><div class="MsoNormal" style="text-align: justify;"><br /></div><div class="MsoNormal" style="text-align: justify;"><br /></div><div class="MsoNormal" style="text-align: justify;"><br /></div><div class="MsoNormal" style="text-align: justify;"><br /></div><div class="MsoNormal" style="text-align: justify;"><br /></div><div class="MsoNormal" style="text-align: justify;"><br /></div><div class="MsoNormal" style="text-align: justify;"><br /></div><div class="MsoNormal" style="text-align: justify;"><br /></div><div class="MsoNormal" style="text-align: justify;"><br /></div><div class="MsoNormal" style="text-align: justify;"><br /></div><div class="MsoNormal" style="text-align: justify;"><br /></div><div class="MsoNormal" style="text-align: justify;"><br /></div><div class="MsoNormal" style="text-align: justify;"><br /></div><div class="MsoNormal" style="text-align: justify;"><b>e) <span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%; text-align: left;">PC </span></b></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;">Operasi PC tidak bisa dihitung karena tidak memenuhi syarat ordonya, yaitu banyak kolom matriks PP (3 kolom) tidak sama dengan banyak baris matriks CC (ada 2 baris).<o:p></o:p></span></div><div class="MsoNormal" style="text-align: justify;"><br /></div><div class="MsoNormal" style="text-align: justify;"><span style="background: white; font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;">Demikian untuk pembahasan </span>operasi hitung pada matriks. Kalian bisa melanjutkan membaca materi <b><i><a href="http://www.allmipa.com/2016/06/determinan-matriks-dengan-berbagai-ordo.html" target="_blank">determinan dan invers suatu matriks</a></i></b>. Kami yakin, dengan banyak berlatih operasi hitung pada matriks, maka teman-teman pasti akan bisa untuk melahap semua soal-soal yang berkaitan dengan operasi hitung matriks seperti operasi penjumlahan, pengurangan, perkalian skalar matriks, dan perkalian dua matriks. Semoga materi pada artikel ini sangat bermanfaat untuk kita semua. Terima kasih untuk kunjungannya ke blog allmipa.com ini.<br /><br /><br /></div></div>

Cara Mencari Rumus Perkalian Matriks mempunyai Metode yang sangat berbeda dengan Operasi hitung penjumlahan atau pengurangan Matriks, Metode yg diterapkan dalam Menghitung Perkalian Matriks adalah den...

03Jun2016

Ulasan Lengkap Operasi Hitung Pada Matriks

June 03, 2016 contoh , hitung , jawaban , Materi , matriks , operasi , pengurangan , Penjumlahan , penyelesaian , Perkalian , Rumus , Soal , ulasan

<div dir="ltr" style="text-align: left;" trbidi="on"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjL8iMqB8pEV5hxb18heKC59ySPOUmM1LhA45GWRg21F46cYBN3HAow6SeziUpUNLhd4GzxafWUf2jBIvloHlvEQduiQi-XKsoS1IfCubuq7LkQxtwC7dndkFzZJrwDe5Oi7QeDZZONDNE/s1600/illustrasi+matriks.jpg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em; text-align: justify;"><img border="0" height="138" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjL8iMqB8pEV5hxb18heKC59ySPOUmM1LhA45GWRg21F46cYBN3HAow6SeziUpUNLhd4GzxafWUf2jBIvloHlvEQduiQi-XKsoS1IfCubuq7LkQxtwC7dndkFzZJrwDe5Oi7QeDZZONDNE/s200/illustrasi+matriks.jpg" width="200" /></a></div><div style="text-align: justify;">Mengulas matriks memang tidak akan pernah ada habisnya. Memang secara umum siswa akan menemui materi ini untuk pertama kalinya dijenjang SMA. Apalagi dengan pola baru matriks pasti sangat asing untuk siswa. Namun </div><a name='more'></a>kita telah mengulas tentang definisi dan jenis matriks pada artikel sebelumnya. Untuk artikel kali ini kita akan menambah wawasan anda yaitu mengenai operasi hitung pada Matriks. Operasi hitung pada matriks antara lain penjumlahan, pengurangan, serta perkalian matriks. Mari kita simak ulasannya di bawah ini<br /><div style="text-align: justify;"><br /></div><div style="text-align: justify;"><b><u>1. Penjumlahan dan Pengurangan Pada Matriks</u></b></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;">Dua buah matriks dapat dijumlahkan dan dikurangkan apabila ukuran (ordo) kedua matriks tersebut sama. Penjumlahan dan Pengurangan dua matriks dilakukan dengan menjumlahkan setiap elemen yang seletak pada kedua matriks tersebut. Ordo matriks hasil penjumlahan akan sama dengan matriks yang dijumlahkan.<o:p></o:p></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;">Rumus Penjumlahan Matriks</span></div><div class="MsoNormal" style="text-align: justify;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgpb0iG5rck790WATYSYSsoa5zu5DIMoLZlKqAjQfno0pdXQYsx3727BtGFjRo6gLVhXkLk2Zyb89lno0FWvE9VYJsdXmpTYVpe1kTL_8vjBJPj75lreMVxEzylyEYqhlLoBCUFz4iJRKQ/s1600/matriks1.jpg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><br /></a><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgpb0iG5rck790WATYSYSsoa5zu5DIMoLZlKqAjQfno0pdXQYsx3727BtGFjRo6gLVhXkLk2Zyb89lno0FWvE9VYJsdXmpTYVpe1kTL_8vjBJPj75lreMVxEzylyEYqhlLoBCUFz4iJRKQ/s1600/matriks1.jpg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgpb0iG5rck790WATYSYSsoa5zu5DIMoLZlKqAjQfno0pdXQYsx3727BtGFjRo6gLVhXkLk2Zyb89lno0FWvE9VYJsdXmpTYVpe1kTL_8vjBJPj75lreMVxEzylyEYqhlLoBCUFz4iJRKQ/s1600/matriks1.jpg" /></a><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"></span></div><div class="MsoNormal" style="text-align: justify;"><br /></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><br /></div><div class="MsoNormal" style="text-align: justify;"><br /></div><div class="MsoNormal" style="text-align: justify;">Rumus Pengurangan Matriks</div><div style="text-align: justify;"><br /></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjyc0vzg1GohzlDm1SELswz_55buYLlMNQfnH4l2-noNoJW3A5BV7aJ_UpJqirO5M3wjh_Th7Z3Ii7eaVQmo5eRKgoIpe71-FJTDThBG4dtNwS899ISVLu53CpurTT0bSzvbBJIrcXoFxY/s1600/matriks+1b.jpg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em; text-align: justify;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjyc0vzg1GohzlDm1SELswz_55buYLlMNQfnH4l2-noNoJW3A5BV7aJ_UpJqirO5M3wjh_Th7Z3Ii7eaVQmo5eRKgoIpe71-FJTDThBG4dtNwS899ISVLu53CpurTT0bSzvbBJIrcXoFxY/s1600/matriks+1b.jpg" /></a></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;">Contoh Soal :</span></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgqi-5Ibt9DCDekKuRUD7i_2FBBb6m4WAByYh0rGk1d9h4QARpDzYS5LArDCrYDSWf763GNW99aYlzg7yxioIJtaeCsPjlQz3JuWM5L43KkS7RvekmNtN5yxUdHwzI4dhZ_K4nVeUrPFzc/s1600/matriks+2.jpg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em; text-align: justify;"><img border="0" height="150" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgqi-5Ibt9DCDekKuRUD7i_2FBBb6m4WAByYh0rGk1d9h4QARpDzYS5LArDCrYDSWf763GNW99aYlzg7yxioIJtaeCsPjlQz3JuWM5L43KkS7RvekmNtN5yxUdHwzI4dhZ_K4nVeUrPFzc/s320/matriks+2.jpg" width="320" /></a></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhFwp6iejkXwgVKjfM-8FjnuIAESLu67iMzR1W8Vo5S021J3FXZFIqSX61-U6jz5KyX6ShJKokf3fC7QlOzm94St61j9dIS0GaBikmU6hsjjfPf8Low4JjmOWiYVQ2Mu9NE1tT_KWvJdtg/s1600/matriks+3.jpg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em; text-align: justify;"><img border="0" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhFwp6iejkXwgVKjfM-8FjnuIAESLu67iMzR1W8Vo5S021J3FXZFIqSX61-U6jz5KyX6ShJKokf3fC7QlOzm94St61j9dIS0GaBikmU6hsjjfPf8Low4JjmOWiYVQ2Mu9NE1tT_KWvJdtg/s400/matriks+3.jpg" width="341" /></a></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;"><br /></span></div><div class="MsoNormal" style="text-align: justify;"><span style="font-family: "times new roman" , serif; font-size: 12pt; line-height: 115%;">Untuk melanjutkan materi operasi hitung pada matriks silahkan klik disini: <b><u><a href="http://www.allmipa.com/2016/06/perkalian-skalar-matriks-dan-perkalian.html" target="_blank">Perkalian Matriks</a></u></b></span></div></div>

Mengulas matriks memang tidak akan pernah ada habisnya. Memang secara umum siswa akan menemui materi ini untuk pertama kalinya dijenjang SMA. Apalagi dengan pola baru matriks pasti sangat asing untuk ...

03Jun2016

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