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11 Nov 2019
Problem 3. Prove that for any m x n matrix A, there is an orthonormal basis B-ä½,⦠,Un} of Rn such that the vectors Aöi,... , Atn are mutually orthogonal. Note that some of the vectors Avi may be 6. (Hint: apply the Spectral Theorem to the symmetric matrix ATA).
Problem 3. Prove that for any m x n matrix A, there is an orthonormal basis B-ä½,⦠,Un} of Rn such that the vectors Aöi,... , Atn are mutually orthogonal. Note that some of the vectors Avi may be 6. (Hint: apply the Spectral Theorem to the symmetric matrix ATA).
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