For the matrix A=[1567], verify that (i) (A+A′) is a symmetric matrix.(ii) (A−A′) is a skew symmetric matrix.

For the matrix A=[1567], verify that (i) (A+A′) is a symmetric matri

1.	For the matrix A=[1567], verify that (i) (A+A′) is a symmetric matrix.(ii) (A−A′) is a skew symmetric matrix.
Answer» For the matrix $A = [\begin{matrix} 1 & 5 6 & 7 \end{matrix}],$ verify that $(i)$ $(A + A^{'})$ is a symmetric matrix. $(i i)$ $(A - A^{'})$ is a skew symmetric matrix.