Given the following matrix and its eigenvalues 3 4 6 -7 1. Find the two eigenvalues for the matrix 2. Find the matrix for each eigenvalue A, and A2 3. Perform the multiplication to find the equations for each new matrix 4. Use these equations to find the eigenvector for each matrix u, and u, and 42 (A 4 B and H2 and 2- D 9. and 2

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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Given the following matrix and its eigenvalues
3
4
6
-7
1. Find the two eigenvalues for the matrix
2. Find the matrix for each eigenvalue A, and A2
3. Perform the multiplication to find the equations for each new matrix
4. Use these equations to find the eigenvector for each matrix u, and u,
and 42
(A
4
B
and 2
and H2
2
D
and 2
E)
and 42
Transcribed Image Text:Given the following matrix and its eigenvalues 3 4 6 -7 1. Find the two eigenvalues for the matrix 2. Find the matrix for each eigenvalue A, and A2 3. Perform the multiplication to find the equations for each new matrix 4. Use these equations to find the eigenvector for each matrix u, and u, and 42 (A 4 B and 2 and H2 2 D and 2 E) and 42
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