7. is correct? Let \ = 2 be an eigenvalue of an n × n matrix A. Which of the following (a) 21 A0 (b) 21 - is zero. - A is invertible; (c) The eigenvector of A corresponding to λ = 2 (d) The rank of 21 - A is strictly less than n; (e) None of these abcde
7. is correct? Let \ = 2 be an eigenvalue of an n × n matrix A. Which of the following (a) 21 A0 (b) 21 - is zero. - A is invertible; (c) The eigenvector of A corresponding to λ = 2 (d) The rank of 21 - A is strictly less than n; (e) None of these abcde
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
Question
Q7, please show work and show work in simplest way possible. Thanks.
Transcribed Image Text:7.
is correct?
Let \ = 2 be an eigenvalue of an n × n matrix A. Which of the following
(a) 21 A0 (b) 21 -
is zero.
-
A is invertible; (c) The eigenvector of A corresponding to λ = 2
(d) The rank of 21 - A is strictly less than n; (e) None of these
abcde
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