If \( \mathrm{A} \) and \( \mathrm{B} \) are \( 3 \times 3 \) matrices such that \( \mathrm{AB}=...
If \( \mathrm{A} \) and \( \mathrm{B} \) are \( 3 \times 3 \) matrices such that \( \mathrm{AB}=\mathrm{A} \) and \( \mathrm{BA}=\mathrm{B} \), then
(a) \( \mathrm{A}^{2}=\mathrm{A} \) and \( \mathrm{B}^{2} \neq \mathrm{B} \)
(b) \( \mathrm{A}^{2} \neq \mathrm{A} \) and \( \mathrm{B}^{2}=\mathrm{B} \)
(c) \( \mathrm{A}^{2}=\mathrm{A} \) and \( \mathrm{B}^{2}=\mathrm{B} \)
(d) \( \mathrm{A}^{2} \neq \mathrm{A} \) and \( \mathrm{B}^{2} \neq \mathrm{B} \)
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