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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 28RE
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13

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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