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Eigenvalues & Eigenvectorsmedium
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Let p(λ)=λ2−4λ+3p(\lambda) = \lambda^2 - 4\lambda + 3p(λ)=λ2−4λ+3 and AAA be a 3×33 \times 33×3 matrix with eigenvalues 1,2,31, 2, 31,2,3. What are the eigenvalues of the matrix p(A)=A2−4A+3Ip(A) = A^2 - 4A + 3Ip(A)=A2−4A+3I?