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 matrizAa)v₁clasifique los vectores:b)va-11c) v₂ =e) vs||d)v4=1)613 -25 111169 -50 22197 12 -83 37699 -33 15143-32-343-5592-33-61-21respecto a las siguientes categorías:1)Vector propio asociado al valor propio X = -2)Vector propio asociado al valor propio A = -33)Vector propio asociado al valor propio A = 04)Vector propio asociado al valor propio A= 35)Vector propio asociado al valor propio X = 46) Es vector propio, pero asociado a un valor propio diferente a los listados7)No es vector propio2)3)4)e)

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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

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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Question

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)

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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