- #1
Dassinia
- 144
- 0
Hello,
I'm really having a problem to calculate the eigenvectors of a specific matrix, I'm used to do this but i don't know why I'm stuck at this one
A=
2 1 0 1
0 3 -1 0
0 1 1 0
0 -1 0 3
λ1=2 multiplicity 3
λ2=3 multiplicity 1
A-2I=
0 1 0 1
0 1 -1 0
0 1 -1 0
0 -1 0 1
The eigenvectors are given
[-1 -1 -1 -1]
[0 1 2 0]
[1 0 0 0]
If I solve
(A-2I)xi=0
I have
x1=0
x2+x4=0
x2-x3=0
-x2+x4=0
I have to use this for differential equations, and my linear algebra course is far behind, I don't remember what I'm supposed to do when we get the first eigenvector =0, because when the multiplicity of the eigenvalue is > 0 we use the first one to find the following eigenvectors
Thanks!
I'm really having a problem to calculate the eigenvectors of a specific matrix, I'm used to do this but i don't know why I'm stuck at this one
Homework Statement
A=
2 1 0 1
0 3 -1 0
0 1 1 0
0 -1 0 3
λ1=2 multiplicity 3
λ2=3 multiplicity 1
A-2I=
0 1 0 1
0 1 -1 0
0 1 -1 0
0 -1 0 1
The eigenvectors are given
[-1 -1 -1 -1]
[0 1 2 0]
[1 0 0 0]
If I solve
(A-2I)xi=0
I have
x1=0
x2+x4=0
x2-x3=0
-x2+x4=0
I have to use this for differential equations, and my linear algebra course is far behind, I don't remember what I'm supposed to do when we get the first eigenvector =0, because when the multiplicity of the eigenvalue is > 0 we use the first one to find the following eigenvectors
Thanks!