- #1
jinksys
- 123
- 0
I'm trying to find the Eigenvectors and eigenvalues of this matrix:
I get 0, 1, and -1 as my eigenvalues.
Starting with 0, I solve for reduced row echelon form and get the matrix:
My question is, and maybe my brain is just fried, but I'm confused at to what my vector should look like.
I know x3=0 and x4=0, but what about x1,2?
My guess: I would just assign them an arbitrary variable r?
For example x=<r,r,0,0>, let r=1, <1,1,0,0>?
Another question: My characteristic equation is L^2(L^2-1)=0; Are my roots 0, 0, -1, 1 or 0, -1, 1?
Code:
[
0 0 0 0
0 0 0 0
0 0 0 1
0 0 1 0
]
I get 0, 1, and -1 as my eigenvalues.
Starting with 0, I solve for reduced row echelon form and get the matrix:
Code:
[
0 0 1 0 0
0 0 0 1 0
0 0 0 0 0
0 0 0 0 0
]
My question is, and maybe my brain is just fried, but I'm confused at to what my vector should look like.
I know x3=0 and x4=0, but what about x1,2?
My guess: I would just assign them an arbitrary variable r?
For example x=<r,r,0,0>, let r=1, <1,1,0,0>?
Another question: My characteristic equation is L^2(L^2-1)=0; Are my roots 0, 0, -1, 1 or 0, -1, 1?
Last edited: