classify the vectors: , with respect to the following categories: 1)Eigenvector associated with eigenvalue = -4. 2)Eigenvector associated to the eigenvalue = -3 3)Eigenvector associated to the eigenvalue = 0 4)Eigenvector associated to the eigenvalue = 3 5)Eigenvector associated to the eigenvalue = 4 6)It is an eigenvector, but associated to a different eigenvalue than the ones listed. 7)Not an eigenvector

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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For the matrix 


 classify the vectors:

 , with respect to the following categories:

  1)Eigenvector associated with eigenvalue = -4.

  2)Eigenvector associated to the eigenvalue = -3

  3)Eigenvector associated to the eigenvalue = 0

  4)Eigenvector associated to the eigenvalue = 3

  5)Eigenvector associated to the eigenvalue = 4

  6)It is an eigenvector, but associated to a different eigenvalue than the ones listed.

7)Not an eigenvector

Para la matriz
A
a)v₁
clasifique los vectores:
b)va-
11
c) v₂ =
e) vs
||
d)v4=
1)
61
3 -25 11
116
9 -50 22
197 12 -83 37
69
9 -33 15
1
4
3
-3
2
-3
4
3
-5
5
9
2
-3
3
-6
1
-2
1
respecto a las siguientes categorías:
1)Vector propio asociado al valor propio X = -
2)Vector propio asociado al valor propio A = -3
3)Vector propio asociado al valor propio A = 0
4)Vector propio asociado al valor propio A= 3
5)Vector propio asociado al valor propio X = 4
6) Es vector propio, pero asociado a un valor propio diferente a los listados
7)No es vector propio
2)
3)
4)
e)
Transcribed Image Text:Para la matriz A a)v₁ clasifique los vectores: b)va- 11 c) v₂ = e) vs || d)v4= 1) 61 3 -25 11 116 9 -50 22 197 12 -83 37 69 9 -33 15 1 4 3 -3 2 -3 4 3 -5 5 9 2 -3 3 -6 1 -2 1 respecto a las siguientes categorías: 1)Vector propio asociado al valor propio X = - 2)Vector propio asociado al valor propio A = -3 3)Vector propio asociado al valor propio A = 0 4)Vector propio asociado al valor propio A= 3 5)Vector propio asociado al valor propio X = 4 6) Es vector propio, pero asociado a un valor propio diferente a los listados 7)No es vector propio 2) 3) 4) e)
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