For the matrix A=⎡⎢⎣11112−32−13⎤⎥⎦. Show that A3−6A2 – InterviewSolution

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1.	For the matrix A=⎡⎢⎣11112−32−13⎤⎥⎦. Show that A3−6A2+5A+11I=0. Hence, find A−1
Answer» For the matrix $A = ⎡ ⎢ ⎣ \begin{matrix} 1 & 1 & 1 1 & 2 & - 3 2 & - 1 & 3 \end{matrix} ⎤ ⎥ ⎦$ . Show that $A^{3} - 6 A^{2} + 5 A + 11 I = 0$ . Hence, find $A^{- 1}$

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