[-1 0 3 0 -3 1 Let A 0 -1 (A) Find the eigenvalues of A. (B) Find the eigenspaces of A. (C) Find the eigenbasis of A.

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
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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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--1 0
0 -3
1
3. Let A =
3
1
(A) Find the eigenvalues of A.
(B) Find the eigenspaces of A.
(C) Find the eigenbasis of A.
(D) Find an invertible matrix P and a diagonal matrix D such that P-lAP = D.
Remark. You do NOT need to verify the matrix product.
Transcribed Image Text:--1 0 0 -3 1 3. Let A = 3 1 (A) Find the eigenvalues of A. (B) Find the eigenspaces of A. (C) Find the eigenbasis of A. (D) Find an invertible matrix P and a diagonal matrix D such that P-lAP = D. Remark. You do NOT need to verify the matrix product.
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