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Unformatted text preview: C . 3. Prove that every n × n matrix A with real eigenvalues is orthogonally similar to a lower triangular matrix T . 4. Show that the following are equivalent for a symmetric matrix A : (1) A is orthogonal (2) A 2 = I (3) All the eigenvalues of A are ± 1...
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This note was uploaded on 09/30/2011 for the course MATH 235 taught by Professor Celmin during the Spring '08 term at Waterloo.
 Spring '08
 CELMIN
 Matrices

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