- #1
chris_0101
- 65
- 0
Homework Statement
The question is:
Homework Equations
I really don't know what to put here but my method is:
-Find det(A-[tex]\lambda[/tex]I)
-Find the roots of the determinant - which are the eigenvalues
-Solve for (X -([tex]\lambda[/tex])I)
I am stuck at this part
The Attempt at a Solution
So I managed to find the determinant, which is:
[tex]\lambda[/tex]^3 -5[tex]\lambda[/tex]^2 -3[tex]\lambda[/tex] +9
The Eigenvalues are:
[tex]\lambda[/tex]1 = 1
[tex]\lambda[/tex]2 = -3
[tex]\lambda[/tex]3 = -3
Now I'm trying to solve for the eigenvector of eigenvalue 1, however manipulating the matrix does not yield anything that I can use to solve for k1 k2 and k3
Any help with this will be greatly appreciated,
Thanks