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A and B are n x n matrices. Check the true statements below: A. An elementary row operation on A does not change the determinant. B. The determinant of A is the product of the diagonal entries in A. C. (det A)(det B) = det AB. D. If +5 is a factor of the characteristic polynomial of A, then 5 is an eigenvalue of A

A and B are n x n matrices. Check the true statements below: A. An elementary row operation on A does not change the determinant. B. The determinant of A is the product of the diagonal entries in A. C. (det A)(det B) = det AB. D. If +5 is a factor of the characteristic polynomial of A, then 5 is an eigenvalue of A

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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A and B arenxn matrices. Check the true statements below: A. An elementary row operation on A does not change thé determinant. B. The determinant of A is the product of the diagonal entries in A. C. (det A)(det B) = det AB. D. If 1+5 is a factor of the characteristic polynomial of A, then 5 is an eigenvalue of A.
Transcribed Image Text:A and B arenxn matrices. Check the true statements below: A. An elementary row operation on A does not change thé determinant. B. The determinant of A is the product of the diagonal entries in A. C. (det A)(det B) = det AB. D. If 1+5 is a factor of the characteristic polynomial of A, then 5 is an eigenvalue of A.
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