Linear Algebra Quiz
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EIGENVALUES & EIGENVECTORS
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Let AA be a 4×44 \times 4 matrix with characteristic polynomial p(λ)=(λ−1)2(λ+2)2p(\lambda) = (\lambda - 1)^2(\lambda + 2)^2. If the nullspace of (A−I)(A - I) has dimension 1 and the nullspace of (A+2I)(A + 2I) has dimension 2, what can be concluded about AA?
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