Loading [MathJax]/extensions/TeX/AMSmath.js
Mathematics
         
语言:中文    Language:English
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.
    Current location:Linear algebra >Matrix multiplication >History of matrix multiplication
     \begin{aligned}&\\ \color{black}{Calculate }& \color{black}{\ \ \begin{pmatrix} &24\ \end{pmatrix}\times \begin{pmatrix} &68\ \end{pmatrix}}\\ \end{aligned}
     \begin{aligned}&\\ \color{black}{Calculate }& \color{black}{\ \ \begin{pmatrix} &111213212223313233\ \end{pmatrix}\times \begin{pmatrix} &111213212223313233\ \end{pmatrix}}\\ \end{aligned}
     \begin{aligned}&\\ \color{black}{Calculate }& \color{black}{\ \ \begin{pmatrix} &2\ \end{pmatrix}\times \begin{pmatrix} &1\ &2\ \end{pmatrix}}\\ \end{aligned}
     \begin{aligned}&\\ \color{black}{Calculate }& \color{black}{\ \ \begin{pmatrix} &4\ &2\ &4\ &2\ \\ &8\ &16\ &8\ &4\ \\ &32\ &64\ &128\ &16\ \\ &256\ &512\ &2048\ &4096\ \end{pmatrix}\times \begin{pmatrix} &4\ &2\ &4\ &2\ \\ &8\ &16\ &8\ &4\ \\ &32\ &64\ &128\ &16\ \\ &256\ &512\ &2048\ &4096\ \end{pmatrix}}\\ \end{aligned}
     \begin{aligned}&\\ \color{black}{Calculate }& \color{black}{\ \ \begin{pmatrix} &3\ &4\ \\ &2\ &7\ \\ &9\ &1\ \end{pmatrix}\times \begin{pmatrix} &6\ &\frac{13}{2}\ &3\ \\ &3\ &5\ &5\ \end{pmatrix}}\\ \end{aligned}

First page << Page24 Page25 Page26 Page27 ... ... Page41 Page42 Page43 >> Last page 共48页
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.



  New addition:Lenders ToolBox module(Specific location:Math OP > Lenders ToolBox ),welcome。