JEE Math Practice Question
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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