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Unformatted text preview: a b c d is a root of its characteristic polynomial. 5. Prove that if a matrix is unitary, Hermitian, or skew-Hermitian, then it is normal. Find a normal matrix that is not unitary, Hermitian or skew-Hermitian. 6. If A 2 = A , show that rank A = tr A . 1...
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This note was uploaded on 10/12/2010 for the course MATH 235 taught by Professor Celmin during the Fall '08 term at Waterloo.
- Fall '08