Find the characterstic polynomial of A Using your answer to part (a), check that X₁ A. What are their multiplicities? -2 and X₂ = 1 are the eigenvalues of

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 46E
icon
Related questions
Question
Let A =
2 -1]
4 -3
Transcribed Image Text:Let A = 2 -1] 4 -3
Find the characterstic polynomial of A
Using your answer to part (a), check that >₁ = -2 and A₂ = 1 are the eigenvalues of
A. What are their multiplicities?
Find corresponding basic eigenvectors for Ex, and Ex-
Find an invertible matrix P such that P-¹AP = D with D a diagonal matrix. What is
D (compute D or justify how you know what entries are)
Transcribed Image Text:Find the characterstic polynomial of A Using your answer to part (a), check that >₁ = -2 and A₂ = 1 are the eigenvalues of A. What are their multiplicities? Find corresponding basic eigenvectors for Ex, and Ex- Find an invertible matrix P such that P-¹AP = D with D a diagonal matrix. What is D (compute D or justify how you know what entries are)
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning