If \( A=\left[\begin{array}{rr}5 & 2 \\ -1 & 2\end{array}\right] \)...

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If \( A=\left[\begin{array}{rr}5 & 2 \\ -1 & 2\end{array}\right] \) and \( I=\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right] \), show that :
\[
(\mathrm{A}-3 \mathrm{I})(\mathrm{A}-4 \mathrm{I})=\mathrm{O} \text {. }
\]
EW
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