Now that we have practiced finding our eigenvalues 1-R 2 becomes has eigenvalues R, = 2 and R, = - 3 -4-R We need to plug the values of R back into our matrix to get two brand new matrices that we will use to find our eigenvectors. 1-2 2 2 6 2 and A2 3 -4-2 -6 3 -4--5 3 1 Given the matrix and its eigenvalues 3-R -3 becomes has eigenvalues R, = -3 and R, = 2 2 -4-R Find the new matrices (A, and A2) for the matrix. 6 -3 1 -3 A and A2 %3D 2 -1 3. B A, and A2 6. 1-3 and A2 2 -6 5 -3 (D and A2 2 -6 2-3 E and A2 2 3

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Now that we have practiced finding our eigenvalues
1-R
2
becomes
has eigenvalues R, = 2 and R, = -5
3
-4-R
We need to plug the values of R back into our matrix to get two brand new matrices that we will use to find our eigenvectors.
1-2
1- -5
2
6 2
and A2
3
-4-2
-6
3
-4- -5
3 1
Given the matrix and its eigenvalues
3-R
-3
becomes
has eigenvalues R, = -3 and R, = 2
2
-4-R
Find the new matrices (A, and A2) for the matrix.
6 -3
-3
A A,
and A2
2 -2
2 -1
6 -3
1 -3
B) A, =
and A2
2 -7
2 -2
6 -3
-3
and A2
2 -1
2 -6
3 -3
(D
A, =
and A2
%3D
2 -1
2 -6
3 -3
-2 -3
E A, =
and A2
-2
Transcribed Image Text:Now that we have practiced finding our eigenvalues 1-R 2 becomes has eigenvalues R, = 2 and R, = -5 3 -4-R We need to plug the values of R back into our matrix to get two brand new matrices that we will use to find our eigenvectors. 1-2 1- -5 2 6 2 and A2 3 -4-2 -6 3 -4- -5 3 1 Given the matrix and its eigenvalues 3-R -3 becomes has eigenvalues R, = -3 and R, = 2 2 -4-R Find the new matrices (A, and A2) for the matrix. 6 -3 -3 A A, and A2 2 -2 2 -1 6 -3 1 -3 B) A, = and A2 2 -7 2 -2 6 -3 -3 and A2 2 -1 2 -6 3 -3 (D A, = and A2 %3D 2 -1 2 -6 3 -3 -2 -3 E A, = and A2 -2
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