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Q. If A is any square matrix then which of the following is not symmetric ?

Matrices

Solution:

$\left(A - A^{t}\right)^{t} = A^{t} -\left(A^{t}\right)^{t} = A^{t} -A = - \left(A - A^{t}\right)^{t} $
$\Rightarrow A - A^{t }$ is skew symmetric