Suppose that A is an eigenvalue of an invertible square matrix A. 1 Is it correct to conclude that O O - No. X is an eigenvalue of A¯¹? Yes, and the eigenspace stays the same. Yes, but the eigenspace can be different.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 80E
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Y
Suppose that A is an eigenvalue of an invertible square matrix A.
1
Is it correct to conclude that
O
O
O
X
No.
is an eigenvalue of A¯¹?
Yes, and the eigenspace stays the same.
Yes, but the eigenspace can be different.
Transcribed Image Text:Suppose that A is an eigenvalue of an invertible square matrix A. 1 Is it correct to conclude that O O O X No. is an eigenvalue of A¯¹? Yes, and the eigenspace stays the same. Yes, but the eigenspace can be different.
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