3. If A € Cnxn is Hermitian, show that the rank of A is equal to the number of nonzero eigenvalues of A, but that this is not generally true for non-Hermitian matri- ces. A C1 anxn II D Juss
3. If A € Cnxn is Hermitian, show that the rank of A is equal to the number of nonzero eigenvalues of A, but that this is not generally true for non-Hermitian matri- ces. A C1 anxn II D Juss
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 8E
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