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Mathematics · 2025 · 1 mark
CBSE 2025 · Region 4 · Set 1 · Q2
If A and B are square matrices of same order such that AB = A and BA = B, then A^2+ B^2 is equal to:
If A and B are square matrices of same order such that $\displaystyle \mathrm{AB}=\mathrm{A}$ and $\displaystyle \mathrm{BA}=\mathrm{B}$, then $\displaystyle \mathrm{A}^{2}+\mathrm{B}^{2}$ is equal to :
Official answer
(A)
$\displaystyle \mathrm{A}+\mathrm{B}$
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CBSE Class 12 Mathematics past-paper question from the 2025 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.