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1) Let A be a similarity transformation of a matrix A via the similarity transformation matrix T, then which of the following statements is/are true A and A have the same rank A and A have same eigenvalues A and A are always diagonalizable Only the positive eigenvalues of A and A are equal.

1) Let A be a similarity transformation of a matrix A via the similarity transformation matrix T, then which of the following statements is/are true A and A have the same rank A and A have same eigenvalues A and A are always diagonalizable Only the positive eigenvalues of A and A are equal.

Advanced Engineering Mathematics
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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1) Let A be a similarity transformation of a matrix A via the similarity transformation matrix T, then which of the following statements is/are true A and A have the same rank A and A have same eigenvalues A and A are always diagonalizable Only the positive eigenvalues of A and A are equal.
Transcribed Image Text:1) Let A be a similarity transformation of a matrix A via the similarity transformation matrix T, then which of the following statements is/are true A and A have the same rank A and A have same eigenvalues A and A are always diagonalizable Only the positive eigenvalues of A and A are equal.
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