Given the following matrix and its eigenvalues 25 has eigenvalues R, = -3 and R, = 3 1. Find the matrix for each eigenvalue A, and Az 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 and 2 7 -3 7 and 2 and 2 3 and 2 (E and 2=

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
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Chapter3: Determinants
Section3.CM: Cumulative Review
Problem 17CM: Find the sequence of the elementary matrices whose product is the non singular matrix below. [2410]
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Given the following matrix and its eigenvalues
has eigenvalues R,
= - 3 and R,
= 3
-2
1. Find the matrix for each eigenvalue A, and Az
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)
2
and 2
=
-3
7
-3
7
B
H =
and H2
- 1
-5
(c)
H =
3
and H2
and #2
- 1
E)
and 2
2.
Transcribed Image Text:Given the following matrix and its eigenvalues has eigenvalues R, = - 3 and R, = 3 -2 1. Find the matrix for each eigenvalue A, and Az 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) 2 and 2 = -3 7 -3 7 B H = and H2 - 1 -5 (c) H = 3 and H2 and #2 - 1 E) and 2 2.
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