Eigenvalues & Eigenvectorshard
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Let AA be a 3×33 \times 3 matrix with eigenvalues λ1=1\lambda_1 = 1, λ2=2\lambda_2 = 2, and λ3=3\lambda_3 = 3. Determine the eigenvalues of the matrix B=(AI)(A2I)(A3I)B = (A - I)(A - 2I)(A - 3I).