Kalkulator Perkalian Matriks
Kalikan matriks langkah demi langkah
Kalkulator ini akan mencari hasil kali dua matriks (jika memungkinkan), dengan langkah-langkah yang ditunjukkan. Kalkulator ini dapat mengalikan matriks berukuran apa pun hingga 10x10 (2x2, 3x3, 4x4, dll.).
Kalkulator terkait: Kalkulator Matriks
Masukan Anda
Hitung $$$\left[\begin{array}{ccc}4 & 5 & 7\\2 & 1 & 0\end{array}\right]\cdot \left[\begin{array}{cc}2 & 3\\8 & 9\\1 & 1\end{array}\right].$$$
Solusi
$$$\left[\begin{array}{ccc}{\color{OrangeRed}4} & {\color{Blue}5} & {\color{SaddleBrown}7}\\{\color{GoldenRod}2} & {\color{Red}1} & {\color{DarkMagenta}0}\end{array}\right]\cdot \left[\begin{array}{cc}{\color{Blue}2} & {\color{BlueViolet}3}\\{\color{SaddleBrown}8} & {\color{OrangeRed}9}\\{\color{Peru}1} & {\color{DarkCyan}1}\end{array}\right] = \left[\begin{array}{cc}{\color{OrangeRed}\left(4\right)}\cdot {\color{Blue}\left(2\right)} + {\color{Blue}\left(5\right)}\cdot {\color{SaddleBrown}\left(8\right)} + {\color{SaddleBrown}\left(7\right)}\cdot {\color{Peru}\left(1\right)} & {\color{OrangeRed}\left(4\right)}\cdot {\color{BlueViolet}\left(3\right)} + {\color{Blue}\left(5\right)}\cdot {\color{OrangeRed}\left(9\right)} + {\color{SaddleBrown}\left(7\right)}\cdot {\color{DarkCyan}\left(1\right)}\\{\color{GoldenRod}\left(2\right)}\cdot {\color{Blue}\left(2\right)} + {\color{Red}\left(1\right)}\cdot {\color{SaddleBrown}\left(8\right)} + {\color{DarkMagenta}\left(0\right)}\cdot {\color{Peru}\left(1\right)} & {\color{GoldenRod}\left(2\right)}\cdot {\color{BlueViolet}\left(3\right)} + {\color{Red}\left(1\right)}\cdot {\color{OrangeRed}\left(9\right)} + {\color{DarkMagenta}\left(0\right)}\cdot {\color{DarkCyan}\left(1\right)}\end{array}\right] = \left[\begin{array}{cc}55 & 64\\12 & 15\end{array}\right]$$$
Jawaban
$$$\left[\begin{array}{ccc}4 & 5 & 7\\2 & 1 & 0\end{array}\right]\cdot \left[\begin{array}{cc}2 & 3\\8 & 9\\1 & 1\end{array}\right] = \left[\begin{array}{cc}55 & 64\\12 & 15\end{array}\right]$$$A