Matrices A and B are said to be similar if and only if there is a matrix P such that A = PBP^-1 . If A and B are similar, show that 1) The eigenvalues of A are the same as the eigenvalues of B. 2) The eigenvectors A and B can be different.
Matrices A and B are said to be similar if and only if there is a matrix P such that A = PBP^-1 . If A and B are similar, show that 1) The eigenvalues of A are the same as the eigenvalues of B. 2) The eigenvectors A and B can be different.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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13. Matrices A and B are said to be similar if and only if there is a matrix P such that A = PBP^-1 . If A and B are similar, show that
1) The eigenvalues of A are the same as the eigenvalues of B.
2) The eigenvectors A and B can be different.
Please solve this problem complete please no reject max in 30 minutes
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