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Question Number 50386 by Abdo msup. last updated on 16/Dec/18

$$letA=\left(\begin{array}{c}100\\ 0-2-9\end{array}\right)$$$$\left(014\right)$$$$1)calculate{(A-I)}^3$$$$2)conclude{A}^{n}fornintegr.$$

Answered by kaivan.ahmadi last updated on 16/Dec/18

$$\mathrm{A}-\mathrm{I}=\left(\begin{array}{c}000\\ 0-3-9\end{array}\right)$$$$\left(013\right)$$$${(\mathrm{A}-\mathrm{I})}^2=\left(\begin{array}{c}000\\ 000\end{array}\right)$$$$\left(000\right)$$$$\Rightarrow {(\mathrm{A}-\mathrm{I})}^3=0$$

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