53 Is λ = 8 an eigenvalue of 23 9 -9? If so, find one corresponding eigenvector. O A. 01 9 ... Select the correct choice below and, if necessary, fill in the answer box within your choice. 53 9 Yes, λ = 8 is an eigenvalue of 2 3 -9 01 9 (Type a vector or list of vectors. Type an integer or simplified fraction for each matrix element.) . 53 9 B. No, λ = 8 is not an eigenvalue of 23 -9 01 9 One corresponding eigenvector is

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 38EQ
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53 9
Is λ = 8 an eigenvalue of 2 3 -9 ? If so, find one corresponding eigenvector.
01
9
Select the correct choice below and, if necessary, fill in the answer box within your choice.
5 3 9
Yes, λ = 8 is an eigenvalue of 23 9 One corresponding eigenvector is
O A.
01 9
(Type a vector or list of vectors. Type an integer or simplified fraction for each
matrix element.)
5 3
B. No, λ = 8 is not an eigenvalue of 23
0 1
9
9
9
CO
Transcribed Image Text:53 9 Is λ = 8 an eigenvalue of 2 3 -9 ? If so, find one corresponding eigenvector. 01 9 Select the correct choice below and, if necessary, fill in the answer box within your choice. 5 3 9 Yes, λ = 8 is an eigenvalue of 23 9 One corresponding eigenvector is O A. 01 9 (Type a vector or list of vectors. Type an integer or simplified fraction for each matrix element.) 5 3 B. No, λ = 8 is not an eigenvalue of 23 0 1 9 9 9 CO
Find a basis for the eigenspace corresponding to each listed eigenvalue of A below.
30
-[3:)
21
A =
λ = 1,3
A basis for the eigenspace corresponding to λ = 1 is
(Use a comma to separate answers as needed.)
Transcribed Image Text:Find a basis for the eigenspace corresponding to each listed eigenvalue of A below. 30 -[3:) 21 A = λ = 1,3 A basis for the eigenspace corresponding to λ = 1 is (Use a comma to separate answers as needed.)
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