Question

(a) Given that A=\left(\begin{array}{cc} 6 & -2 \\ -4 & 1 \end{array}\right) \text { Show that } \mathbf{A}^{\mathbf{2}}=\mathbf{7 A}+2 \mathbf{I} The matrix M is given by \mathbf{M}=\left(\begin{array}{ccc} 2 & 1 & -3 \\ -1 & 1 & 3 \\ 2 & -1 & -1 \end{array}\right) find M-1

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