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  4. A square matrix A=[ai j] is said to be symmetric if A prime for all possible values of i and j

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Q. A square matrix $A=\left[a_{i j}\right]$ is said to be symmetric if $A^{\prime}$ for all possible values of $i$ and $j$

Matrices

Solution:

A square matrix $A=\left[a_{i j}\right]$ is said to be symmetric, if $A^{\prime}=A$, that is, $\left[a_{i j}\right]=\left[a_{\bar{j}}\right]$ for all possible values of $i$ and $j$.