Find a basis for the eigenspace corresponding to each listed eigenvalue of A below. A = 1 0 2 = 2,1 -1 2 A basis for the eigenspace corresponding to = 2 is

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.3: The Gram-schmidt Process And The Qr Factorization
Problem 1BEXP
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Find a basis for the eigenspace corresponding to each listed eigenvalue of A below.

Find a basis for the eigenspace corresponding to each listed eigenvalue of A below.
1 0
A =
,^ = 2,1
- 1 2
A basis for the eigenspace corresponding to A= 2 is
(Use a comma to separate answers as needed.)
A basis for the eigenspace corresponding to 1 = 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. 1 0 A = ,^ = 2,1 - 1 2 A basis for the eigenspace corresponding to A= 2 is (Use a comma to separate answers as needed.) A basis for the eigenspace corresponding to 1 = 1 is (Use a comma to separate answers as needed.)
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