A matrix with orthonormal eigenvectors has the form A = U A U- 1 = U AU H. Prove that
Chapter 10, Problem 30(choose chapter or problem)
A matrix with orthonormal eigenvectors has the form A = U A U- 1 = U AU H. Prove that AAH = AHA. These are exactly the normal matrices. Examples are Hermitian, skew-Hermitian, and unitary matrices. Construct a 2 by 2 normal matrix by choosing complex eigenvalues in A.
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