Let $\mathrm{A}$ and $\mathrm{B}$ be any two $3 \times 3$ symmetric and skew symmetric matrices respectively. Then which of the following is NOT true?

Question

$\mathrm{A}^{4}-\mathrm{B}^{4}$ is a smmetric matrix

$\mathrm{AB}-\mathrm{BA}$ is a symmetric matrix

$\mathrm{B}^{5}-\mathrm{A}^{5}$ is a skew-symmetric matrix

$\mathrm{AB}+\mathrm{BA}$ is a skew-symmetric matrix

Solution

Please login to view the detailed solution steps...

Go to DASH