Equations
Unfold
Math OP
Unfold
Linear algebra
Fold
Matrix multiplication:
Enter two matrices that can be multiplied, with each element separated by a comma and each row ending with a semicolon.
Note that mathematical functions and variables are not supported.
Enter two matrices that can be multiplied, with each element separated by a comma and each row ending with a semicolon.
Note that mathematical functions and variables are not supported.
Current location：Linear algebra >Matrix multiplication >History of matrix multiplication >Answer
$$ \begin{aligned}&\\ \color{black}{Calculate }& \color{black}{\ \ \begin{pmatrix} &34\ &8\ &4\ &8\ \\ &9\ &30\ &84\ &2\ \\ &94\ &9\ &39\ &3\ \end{pmatrix}\times \begin{pmatrix} &23\ &8\ &3\ &3\ &9\ \\ &3\ &3\ &7\ &56\ &7\ \\ &9\ &3\ &9\ &5\ &2\ \\ &9\ &2\ &1\ &4\ &5\ \end{pmatrix}}\\ \\Solution:&\\&\begin{pmatrix} &34\ &8\ &4\ &8\ \\ &9\ &30\ &84\ &2\ \\ &94\ &9\ &39\ &3\ \end{pmatrix}\times \begin{pmatrix} &23\ &8\ &3\ &3\ &9\ \\ &3\ &3\ &7\ &56\ &7\ \\ &9\ &3\ &9\ &5\ &2\ \\ &9\ &2\ &1\ &4\ &5\ \end{pmatrix}\\\\=\ \ &\begin{pmatrix} &914\ &324\ &202\ &602\ &410\ \\ &1071\ &418\ &995\ &2135\ &469\ \\ &2567\ &902\ &699\ &993\ &1002\ \end{pmatrix}\end{aligned}$$
你的问题在这里没有得到解决？请到 热门难题 里面看看吧！
The properties of matrix multiplication:
(i) Combining Law: （A b）C=A（b C）
(ii) Distribution Law: A ( B + C ) = A B + A C either or ( A + B ) C = A C + B C .
(iii) λ ( A B ) = ( λ A ) B = A ( λ B ) .
Among them, A, B, and C are the matrices that make the multiplication of the above matrices meaningful, λ It's a number.