Let B be a square matrix (True or False): 1)The eigenvalues of 10B, are 10 times the eigenvalues of B, i.e., λ(10B) = 10λ(B). 2). B and 10B have the same eigenvectors. 3) If B is nonsingular it may have a zero eigenvalue.
Let B be a square matrix (True or False): 1)The eigenvalues of 10B, are 10 times the eigenvalues of B, i.e., λ(10B) = 10λ(B). 2). B and 10B have the same eigenvectors. 3) If B is nonsingular it may have a zero eigenvalue.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.5: Eigenvalues And Eigenvectors
Problem 15E
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Let B be a square matrix
(True or False):
1)The eigenvalues of 10B, are 10 times the eigenvalues of B, i.e., λ(10B) = 10λ(B).
2). B and 10B have the same eigenvectors.
3) If B is nonsingular it may have a zero eigenvalue.
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