Matrix Addition and Subtraction
Calculate the sum and difference of two matrices.
| \(\hspace{30px}C=A\pm B\\ \normalsize{\left[\begin{array}\\ c_{\small 11}& \cdots& c_{\small 1k}\\ c_{\small 21}& \cdots& c_{\small 2k}\\ \vdots& \ddots& \vdots\\c_{\small i1}& \cdots& c_{\small ik}\\\end{array}\right]}= {\left[\begin{array}\\ a_{\small 11}\pm b_{\small 11}& \cdots& a_{\small 1j}\pm b_{\small 1j}\\ a_{\small 21}\pm b_{\small 21}& \cdots& a_{\small 2j}\pm b_{\small 2j}\\ \vdots& \ddots& \vdots\\a_{\small i1}\pm b_{\small i1}& \cdots& a_{\small ij}\pm b_{\small ij}\\\end{array}\right]}\\ \) |
Matrices A and B can be added or subtracted only if they have the same number of rows and columns.
| \(C=A\pm B\hspace{30px}\normalsize c_{ij}=a_{ij}\pm b_{ij}\\\) |
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