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Let's compute a full example of Diagonalizing a matrix via eigenvectors and eigenvalues. The steps: 1) Compute the eigenvalues. Take the determinant of A-lambda I and set it equal to zero. The solutions are the eigenvalues 2) Compute the eigenvectors. For each eigenvalue solve (A-lambda I)x=0, which is a homogeneous system 3) Form the P and D ...

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