Find a basis for the eigenspace corresponding to the eigenvalue of A given below. 4 0 - 1 A = 2 -8 , λ 3 1 - 2 - 2 A basis for the eigenspace corresponding to 2 = 3 is { }. (Use a comma to separate answers as needed.)

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 25EQ: In Exercises 23-26, use the method of Example 4.5 to find all of the eigenvalues of the matrix A....
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Find a basis for the eigenspace corresponding to the eigenvalue of A given below.
4
0 - 1
A = 2
-8 λ 3
1 - 2 - 2
A basis for the eigenspace corresponding to 2 = 3 is { }.
(Use a comma to separate answers as needed.)
Transcribed Image Text:Find a basis for the eigenspace corresponding to the eigenvalue of A given below. 4 0 - 1 A = 2 -8 λ 3 1 - 2 - 2 A basis for the eigenspace corresponding to 2 = 3 is { }. (Use a comma to separate answers as needed.)
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