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Minimal Polynomials and Diagonal Form

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Published on Jun 6, 2012

Matrix Theory: Using minimal polynomials, we characterize matrices that can be put into diagonal form. That is, there exists a basis of eigenvectors for A iff the minimal polynomial factors into distinct linear factors. As an application, we show that any matrix that satisfies A^m=I (m positive) is diagonalizable over the complex numbers.

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