Find all eigenvalues and eigenvectors for the matrix
$$ \left(\begin{array}{ccc} 1 & 1 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 17 \end{array}\right) $$
Is the matrix diagonalizable?
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Find the eigenvalues and eigenvectors of the matrix. $$ A=\left[\begin{array}{ccc} 1 & 2 & -1 \\ 1 & 0 & 1 \\ 4 & -4 & 5 \end{array}\right] $$
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