-1 5 -2 Consider the matrix A= 2 a) Obtain the eigenvectors (v₁, V2, V3) of A. b) Write a matrix P that has these vectors as columns: P = (V₁|V₂|V3). c) Calculates the matrix B as follows: B = P¹ AP. (2 0 0 Answer: B=0 0 0 0 -3

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.6: The Algebra Of Matrices
Problem 13E
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(-1 5 -2
Consider the matrix A =
2 2
-2
-5 5 2
a) Obtain the eigenvectors (V₁, V2, V3) of A.
b) Write a matrix P that has these vectors as columns: P =
(V₁|V₂|V3).
c) Calculates the matrix B as follows: B = P¯¹ AP.
0
0
Answer: B = 0
0
00-3
Transcribed Image Text:(-1 5 -2 Consider the matrix A = 2 2 -2 -5 5 2 a) Obtain the eigenvectors (V₁, V2, V3) of A. b) Write a matrix P that has these vectors as columns: P = (V₁|V₂|V3). c) Calculates the matrix B as follows: B = P¯¹ AP. 0 0 Answer: B = 0 0 00-3
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