Eigenvalues Eigenvectors and bases of eigenspace

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I was given the matrix \begin{pmatrix} 3 & -5 & 4 \\ 2 & 0 & -3 \\ -1 & 2& -1 \end{pmatrix} I'm not sure what to do after I get $-x^3 + 2x^2 - 17x + 9=0$.