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