Consider the following.(a) Compute the characteristic polynomial of A.det(A - AI) = -2³ +72² +172 +9A₁ =A =(b) Compute the eigenvalues and bases of the corresponding eigenspaces of A. (Repeated eigenvalues should be entered repeatedly with the same eigenspaces.)^₂ =4 056-1 65 0423 =has eigenspace spanhas eigenspace spanhas eigenspace span↓ 1(c) Compute the algebraic and geometric multiplicity of each eigenvalue.A₁ has algebraic multiplicityand geometric multiplicity₂ has algebraic multiplicityand geometric multiplicity13 has algebraic multiplicityand geometric multiplicity(smallest λ-value)(largest λ-value)

Answered: Image /qna-images/answer/f853ad15-ac78-44fa-9293-3aa00493d09c.jpg

Answered: Consider the following. (a) Compute the…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section: Chapter Questions

Problem 9RQ

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What is the relationship between the characteristic polynomial and the eigenvalues of A?
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Q: Find the eigenvalues of -2 -3 5- A= ー6 -| - 2

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