+43 has eigenvalues A₁ = 1 and A₂ = 5. Let A = 2 2 -1 1 3 -1 You can assume, and do NOT need to show, that A -1 -2 2 Compute algebraic and geometric multiplicities of X₁ and ₂.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CR: Review Exercises
Problem 65CR: Determine all nn symmetric matrices that have 0 as their only eigenvalue.
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Question
1.
Let A =
has eigenvalues X₁
=
2
2
3
-1 -2
2
1 and X₂ 5.
You can assume, and do NOT need to show, that A
Compute algebraic and geometric multiplicities of X₁ and ₂.
Transcribed Image Text:1. Let A = has eigenvalues X₁ = 2 2 3 -1 -2 2 1 and X₂ 5. You can assume, and do NOT need to show, that A Compute algebraic and geometric multiplicities of X₁ and ₂.
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