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vectors are: 3 2 1 4 Vλ=1=-3, V2=3 = 1 2 -5 2 Vλ=-1= 0 -1 1 the given information, answer the following: s A diagonalizable? Give a reason for your answer. SA an invertible matrix? Give a reason for your answer. Determine matrices P and D such that D = P-¹ AP.

vectors are: 3 2 1 4 Vλ=1=-3, V2=3 = 1 2 -5 2 Vλ=-1= 0 -1 1 the given information, answer the following: s A diagonalizable? Give a reason for your answer. SA an invertible matrix? Give a reason for your answer. Determine matrices P and D such that D = P-¹ AP.

Algebra and Trigonometry (6th Edition)
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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2 1 1 Consider a matrix, A=-2 0 1 with eigenvalues λ=1, 2, -1. The corresponding 3 21 eigenvectors are: 2 4 Vλ=1=-3 Vλ=3= 1 -5 2 0 Vλ=-1=-1 c) Determine matrices P and D such that D = P-¹ AP. -1 1 Using the given information, answer the following: a) Is A diagonalizable? Give a reason for your answer. b) Is A an invertible matrix? Give a reason for your answer.
Transcribed Image Text:2 1 1 Consider a matrix, A=-2 0 1 with eigenvalues λ=1, 2, -1. The corresponding 3 21 eigenvectors are: 2 4 Vλ=1=-3 Vλ=3= 1 -5 2 0 Vλ=-1=-1 c) Determine matrices P and D such that D = P-¹ AP. -1 1 Using the given information, answer the following: a) Is A diagonalizable? Give a reason for your answer. b) Is A an invertible matrix? Give a reason for your answer.
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