Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Which of the following statements are correct?
a) A square matrix A is not invertible if and only if A = 0 is an eigenvalue of A.
b) If vị and v2 are linearly independent eigenvectors of a matrix A, then they correspond to different
eigenvalues.
c) If a square matrix A is triangular, then the eigenvalues of A are the entries on its main diagonal.
5 -4
8 -7
d) A= 5 is an eigenvalue of A
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Transcribed Image Text:Which of the following statements are correct? a) A square matrix A is not invertible if and only if A = 0 is an eigenvalue of A. b) If vị and v2 are linearly independent eigenvectors of a matrix A, then they correspond to different eigenvalues. c) If a square matrix A is triangular, then the eigenvalues of A are the entries on its main diagonal. 5 -4 8 -7 d) A= 5 is an eigenvalue of A
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