Matris Çarpımı Hesaplayıcısı
Matrisleri adım adım çarpın
Hesap makinesi, (mümkünse) iki matrisin çarpımını adımlarını göstererek bulur. 10x10'a kadar (2x2, 3x3, 4x4 vb.) herhangi bir boyuttaki matrisleri çarpar.
İlgili hesap makinesi: Matris Hesaplayıcı
Girdiniz
Hesaplayın $$$\left[\begin{array}{ccc}4 & 5 & 7\\2 & 1 & 0\end{array}\right]\cdot \left[\begin{array}{cc}2 & 3\\8 & 9\\1 & 1\end{array}\right].$$$
Çözüm
$$$\left[\begin{array}{ccc}{\color{Peru}4} & {\color{Fuchsia}5} & {\color{Purple}7}\\{\color{Chocolate}2} & {\color{Chartreuse}1} & {\color{GoldenRod}0}\end{array}\right]\cdot \left[\begin{array}{cc}{\color{OrangeRed}2} & {\color{Brown}3}\\{\color{Magenta}8} & {\color{Red}9}\\{\color{Chartreuse}1} & {\color{GoldenRod}1}\end{array}\right] = \left[\begin{array}{cc}{\color{Peru}\left(4\right)}\cdot {\color{OrangeRed}\left(2\right)} + {\color{Fuchsia}\left(5\right)}\cdot {\color{Magenta}\left(8\right)} + {\color{Purple}\left(7\right)}\cdot {\color{Chartreuse}\left(1\right)} & {\color{Peru}\left(4\right)}\cdot {\color{Brown}\left(3\right)} + {\color{Fuchsia}\left(5\right)}\cdot {\color{Red}\left(9\right)} + {\color{Purple}\left(7\right)}\cdot {\color{GoldenRod}\left(1\right)}\\{\color{Chocolate}\left(2\right)}\cdot {\color{OrangeRed}\left(2\right)} + {\color{Chartreuse}\left(1\right)}\cdot {\color{Magenta}\left(8\right)} + {\color{GoldenRod}\left(0\right)}\cdot {\color{Chartreuse}\left(1\right)} & {\color{Chocolate}\left(2\right)}\cdot {\color{Brown}\left(3\right)} + {\color{Chartreuse}\left(1\right)}\cdot {\color{Red}\left(9\right)} + {\color{GoldenRod}\left(0\right)}\cdot {\color{GoldenRod}\left(1\right)}\end{array}\right] = \left[\begin{array}{cc}55 & 64\\12 & 15\end{array}\right]$$$
Cevap
$$$\left[\begin{array}{ccc}4 & 5 & 7\\2 & 1 & 0\end{array}\right]\cdot \left[\begin{array}{cc}2 & 3\\8 & 9\\1 & 1\end{array}\right] = \left[\begin{array}{cc}55 & 64\\12 & 15\end{array}\right]$$$A