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
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 and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![Let A =
2 -1]
4 -3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd4f4b624-9180-41b5-94fa-c093ec7455d7%2F86e9363e-3d77-4e48-a0de-6e5a1d581f1b%2Fuuz2t2_processed.png&w=3840&q=75)
Transcribed Image Text:Let A =
2 -1]
4 -3

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)
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