Given the following matrix and its eigenvalues -2 3 has eigenvalues R, = -3 and R, = 7 3 6 1. Find the matrix for each eigenvalue A, and A, 2. Perform the multiplication to find the equations for each new matrix 3. Use these equations to find the eigenvector for each matrix u, and u A 3 and u, = = 3

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
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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
has eigenvalues R, = -3 and R,
6.
-2 3
= 7
3
1. Find the matrix for each eigenvalue A, and A,
2. Perform the multiplication to find the equations for each new matrix
3. Use these equations to find the eigenvector for each matrix u, and uz
-4
(A) H1
and H2
and H2
(B)
- 3
-12
11
and 2
5
D H1
3
and 2
E H,
and 2
Transcribed Image Text:Given the following matrix and its eigenvalues has eigenvalues R, = -3 and R, 6. -2 3 = 7 3 1. Find the matrix for each eigenvalue A, and A, 2. Perform the multiplication to find the equations for each new matrix 3. Use these equations to find the eigenvector for each matrix u, and uz -4 (A) H1 and H2 and H2 (B) - 3 -12 11 and 2 5 D H1 3 and 2 E H, and 2
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