First slide

Transpose of matrix

Question

If A is a square matrix then which one of the following is not a symmetric matrix

Moderate

A

$A + A'$
B

$A A'$
C

$A' A$
D

$A - A'$

Solution

${(A - A^{'})}^{'} = A^{'} - {(A^{'})}^{'} = A^{'} - A = - (A - A^{'})$
$A - A'$ is skew-symmetric matrix.

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