Question
Eigenvalues and Eigenvectors
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Posted: 19 Jul 11 08:01 Number of bids: 0 |
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Question:
I can't workout this matrix question, need help!
Let M be a real symmetric n×n matrix. Prove the following.
(i) Each eigenvalue of M is real.
(ii) Each eigenvector can be chosen to be real.
(iii) Eigenvectors with different eigenvalues are orthogonal.
Let M be a real symmetric n×n matrix. Prove the following.
(i) Each eigenvalue of M is real.
(ii) Each eigenvector can be chosen to be real.
(iii) Eigenvectors with different eigenvalues are orthogonal.
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