For an NxN-dimensional matrix A, prove that a) the product of the eigenvalues is equal to the determinant of A. b) the sum of the eigenvalues of the matrix (A-A') is equal to 0.
For an NxN-dimensional matrix A, prove that a) the product of the eigenvalues is equal to the determinant of A. b) the sum of the eigenvalues of the matrix (A-A') is equal to 0.
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 55E
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