determinant of A is the product of the diagonal entries 21. a. The in A. b. An elementary row operation on A does not change the determinant. c. (det A) (det B) = det AB d. If λ +5 is a factor of the characteristic polynomial of A, then 5 is an eigenvalue of A.
determinant of A is the product of the diagonal entries 21. a. The in A. b. An elementary row operation on A does not change the determinant. c. (det A) (det B) = det AB d. If λ +5 is a factor of the characteristic polynomial of A, then 5 is an eigenvalue of A.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.1: Introduction To Eigenvalues And Eigenvectors
Problem 35EQ
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