Ononot — Let A be a 3 \times 3 matrix with eigenvalues 0, 1, and 2. W

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Eigenvalues & Eigenvectorshard

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Let $A$ be a $3 \times 3$ matrix with eigenvalues 0, 1, and 2. What are the eigenvalues of the matrix $f(A) = A^2 - 3A + 2I$ ?