Question
Definition: Two n x n matrices A and B are said to be similar if there exists an invertible n x n matrix P
Definition: Two n x n matrices A and B are said to be similar if there exists an invertible n x n matrix P such that A = PBP-1 Let A, B and C be arbitrary n x n matrices. If A and B are similar and B and C are similar. prove that A and C are also similar. In your proof, you must explicitly state any properties or theorems you have used.
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Elementary And Intermediate Algebra Concepts And Applications
Authors: Marvin L. Bittinger, David J. Ellenbogen, Barbara L. Johnson
5th Edition
0321559444, 9780321559449
