Given the following matrix and its eigenvalues -27 3 2 1. Find the two eigenvalues for the matrix 2. Find the matrix for each eigenvalue A, and Az 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, A H and 2= 3 B) and 2 -7 -4 and 2 and 2 D E) and H2 3.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 11E
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Given the following matrix and its eigenvalues
-27
1. Find the two eigenvalues for the matrix
2. Find the matrix for each eigenvalue A, and Az
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,
3.
and 2
A)
7.
(B
and 2
C) H1=
5
and 2
3
and 2
7
and 2
E
3.
Transcribed Image Text:Given the following matrix and its eigenvalues -27 1. Find the two eigenvalues for the matrix 2. Find the matrix for each eigenvalue A, and Az 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, 3. and 2 A) 7. (B and 2 C) H1= 5 and 2 3 and 2 7 and 2 E 3.
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