The spectral theorem states that for every real matrix there is a unique spectral decomposition of t

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11 Lượt xem· 03/03/23

HighSchoolMath
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We state and prove the Spectral Theorem for real vector spaces. That is, if A is a real nxn symmetric matrix, we show that A can be diagonalized using an orthogonal matrix. The proof refers to the 2x2 case and to results from the

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