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Question

If A and B are two non-zero n $\times$ n matrices such that $\mathrm{A^2+B=A^2B}$, then :

$\mathrm{A^2B=I}$
$\mathrm{A^2=I}$ or $\mathrm{B=I}$
$\mathrm{A^2B=BA^2}$
$\mathrm{AB=I}$

Solution

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