D Question 21 Find the eigenvalues of A, and find a basis for each eigenspace. A = 1 -0.5] 1.6 0.2 O 0.6-0.81. {¹+2) : 0.6 +0.81, {[¹:²]} {¹+21): -0.6 + 0.8i. {¹²}} {¹2}} {¹+³)} 0 -0.6 -0.81, O 0.6 +0.81, -0.6 +0.81, ;0.6 - 0.8i, {¹+2}} ; -0.6 - 0.8i, (¹7")

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 76E: Define T:P2P2 by T(a0+a1x+a2x2)=(2a0+a1a2)+(a1+2a2)xa2x2. Find the eigenvalues and the eigenvectors...
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Question 21
Find the eigenvalues of A, and find a basis for each eigenspace.
A=
1 -0.5]
1.6 0.2
O 0.6 - 0.81,
{¹+2) : 0.6 +0.81, {[¹:2]}
O-0.6 -0.81,
{¹+²4)
O 0.6 +0.8i,
{¹2}}
-0.6 +0.81,
0.8i. {¹:2¹]
{¹+³)}
{¹+2}}
; -0.6 +0.8i..
;0.6 - 0.8i,
; -0.6 - 0.8i,
(¹7")
Transcribed Image Text:Question 21 Find the eigenvalues of A, and find a basis for each eigenspace. A= 1 -0.5] 1.6 0.2 O 0.6 - 0.81, {¹+2) : 0.6 +0.81, {[¹:2]} O-0.6 -0.81, {¹+²4) O 0.6 +0.8i, {¹2}} -0.6 +0.81, 0.8i. {¹:2¹] {¹+³)} {¹+2}} ; -0.6 +0.8i.. ;0.6 - 0.8i, ; -0.6 - 0.8i, (¹7")
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