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Questions  >>  JEEMAIN and NEET  >>  Mathematics  >>  Class12  >>  Matrices
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Matrix $A$ satisfies $A^2=2A-I$ where $I$ is the identity matrix then for $n^32A^n$ is equal to $(n\in N)$

$\begin{array}{1 1}(a)\;nA-I&(b)\;2^{n-1}A-(n-1)I\\(c)\;nA-(n-1)I&(d)\;2^{n-1}A-I\end{array}$

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