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Questions  >>  CBSE XII  >>  Math  >>  Matrices
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If $A=\begin{bmatrix}3 & -5\\-4 & 2\end{bmatrix},$ then find $A^2-5A-14I.$Hence,obtain $A^3$.

$\begin{array}{1 1} A^3=\begin{bmatrix}187 &195\\156& 148\end{bmatrix} \\ A^3=\begin{bmatrix}187 &-195\\-156& 148\end{bmatrix} \\ A^3=\begin{bmatrix}7 &-195\\-156& 148\end{bmatrix} \\ A^3=\begin{bmatrix}187 & 0 \\-156& 148\end{bmatrix}\end{array} $

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