Problem Eight Diagonalize this matrix, whose eigenvalues are 2 and 8. Note: You only need to find P and D. Adjust the eigenvectors (by scaling) so that they have a 1 in the lowest nonzero position. [4 2 2] A = 2 4 2 2 2 4 Solution:

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CR: Review Exercises
Problem 15CR: For what values of a does the matrix A=[01a1] have the characteristics below? a A has eigenvalue of...
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Problem Eight
Diagonalize this matrix, whose eigenvalues are 2 and 8. Note: You only need to find P and D.
Adjust the eigenvectors (by scaling) so that they have a 1 in the lowest nonzero position.
[4 2 21
A = 2 4 2
2 2 4
Solution:
Transcribed Image Text:Problem Eight Diagonalize this matrix, whose eigenvalues are 2 and 8. Note: You only need to find P and D. Adjust the eigenvectors (by scaling) so that they have a 1 in the lowest nonzero position. [4 2 21 A = 2 4 2 2 2 4 Solution:
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