8. Let (a) (b) Į 1 3 -3 3 1 -3 -3 -3 1 Find the eigenvalues of A. (Hint: λ = 7 is an eigenvalue with multiplicity 1.) A= = Find the eigenvectors of A.

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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question 8 a, b, c, d

(c)
(d)
(...continued)
Find matrices P and D such that A = PDPt.
Use the information above to find A³.
Transcribed Image Text:(c) (d) (...continued) Find matrices P and D such that A = PDPt. Use the information above to find A³.
8. Let
(a)
(b)
Į
3 -3
1
-3 1
Find the eigenvalues of A. (Hint: λ = 7 is an eigenvalue with multiplicity 1.)
A=
=
Find the eigenvectors of A.
1
3
-3
-3
Transcribed Image Text:8. Let (a) (b) Į 3 -3 1 -3 1 Find the eigenvalues of A. (Hint: λ = 7 is an eigenvalue with multiplicity 1.) A= = Find the eigenvectors of A. 1 3 -3 -3
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