Matrix Product

Calculate the product of two matrices.

\(\hspace{30px}AB=C\\ \normalsize{\left[\begin{array}\\ a_{\small 11}& \cdots& a_{\small 1j}\\ a_{\small 21}& \cdots& a_{\small 2j}\\ \vdots& \ddots& \vdots\\a_{\small i1}& \cdots& a_{\small ij}\\\end{array}\right]} {\left[\begin{array}\\ b_{\small 11}& \cdots& b_{\small 1k}\\ b_{\small 21}& \cdots& b_{\small 2k}\\ \vdots& \ddots& \vdots\\b_{\small j1}& \cdots& b_{\small jk}\\\end{array}\right]}={\left[\begin{array}\\ c_{\small 11}& \cdots& c_{\small 1k}\\ c_{\small 21}& \cdots& c_{\small 2k}\\ \vdots& \ddots& \vdots\\c_{\small i1}& \cdots& c_{\small ik}\\\end{array}\right]}\\ \)

_{(Click on each cell in the matrix to enter values)}

Matrix A
{aij}

_i＼^j	1	2
1
2
3

Matrix B
{_bjk}

_j＼^k	1	2	3
1
2

A*B=CB*A=C

The matrix product AB can be calculated only when the number of columns in A equals the number of rows in B.

\(AB=C\hspace{30px}\normalsize c_{ik}={\large\displaystyle \sum_{\tiny j}}a_{ij}b_{jk}\\\)

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