# Matrix product Calculator

## Calculates the matrix product of two matrices.

 $\hspace{30}AB=C\\\vspace{5}\normal{\left[\begin{array}\vspace{10} a_{\small 11}& \cdots& a_{\small 1j}\\\vspace{10} a_{\small 21}& \cdots& a_{\small 2j}\vspace{20}\\ \vdots& \ddots& \vdots\vspace{10}\\a_{\small i1}& \cdots& a_{\small ij}\\\end{array}\right]} {\left[\begin{array}\vspace{7} b_{\small 11}& \cdots& b_{\small 1k}\\\vspace{10} b_{\small 21}& \cdots& b_{\small 2k}\vspace{20}\\ \vdots& \ddots& \vdots\vspace{10}\\b_{\small j1}& \cdots& b_{\small jk}\\\end{array}\right]}={\left[\begin{array}\vspace{13} c_{\small 11}& \cdots& c_{\small 1k}\\\vspace{10} c_{\small 21}& \cdots& c_{\small 2k}\vspace{20}\\ \vdots& \ddots& \vdots\vspace{10}\\c_{\small i1}& \cdots& c_{\small ik}\\\end{array}\right]}\\$
 (enter a data after click each cell in matrix)
matrix A
{aij
matrix B
{bjk
product
 A*B=C B*A=C
 6dgt10dgt14dgt18dgt22dgt26dgt30dgt34dgt38dgt42dgt46dgt50dgt Matrix product
 The product AB can be found, only if the number of rows in matrix A is equal to the number of rows in matrix B.$AB=C\hspace{30}\normal c_{ik}={\large\sum_{\tiny j}}a_{ij}b_{jk}\\$
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