Unformatted text preview: ± a b c d ² is a root of its characteristic polynomial. 5. Prove that if a matrix is unitary, Hermitian, or skewHermitian, then it is normal. Find a normal matrix that is not unitary, Hermitian or skewHermitian. 6. If A 2 = A , show that rank A = tr A . 1...
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 Fall '08
 CELMIN
 Linear Algebra, Matrices, Normal matrix, Unitary matrix, Hermitian matrix, characteristic polynomial. cd

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