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Matrices and Determinants question

2022 · 28 Jul · Shift 2 · Q23

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JEE Main
Mathematics
Matrices and Determinants
2022 · 28 Jul · Shift 2 · Q23

Matrices and Determinants question

2022 · 28 Jul · Shift 2 · Q23

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

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?

A
$\mathrm{A}^{4}-\mathrm{B}^{4}$ is a smmetric matrix
B
$\mathrm{AB}-\mathrm{BA}$ is a symmetric matrix
C
$\mathrm{B}^{5}-\mathrm{A}^{5}$ is a skew-symmetric matrix
D
$\mathrm{AB}+\mathrm{BA}$ is a skew-symmetric matrix

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