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Determine whether the matrix $A=left(begin{array}{ccc}2 & 1 & -2 11 & 0& 0 110 & 1 & Oend{array} ight)$ is diagonalizable. If it is, then

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Determine whether the matrix $A=\left(\begin{array}{ccc}2 & 1 & -2 11 & 0& 0 110 & 1 & O\end{array} ight)$ is diagonalizable. If it is, then give a nonsingular matrix $P$ and a diagonal matrix $D$ so that $A=P D P^{-1}$. CS. JG. 091

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