- #1
Ryan007
- 14
- 1
Homework Statement
I can calculate the proper eigenvalues, but when I plug them back into the matrix, I get x1=0 and x2=0. But this is not the answer Maple gives me! How do I solve for the eigenvector when it appears that a zero vector is the only solution?
Homework Equations
For example, for the matrix {1,1},{1,-1} (rows shown), Maple gives me: eigenvalue of sqrt(2) with eigenvector {1/((sqrt(2)-1),1} and eigenvalue of -sqrt(2) with eigenvector {1/(-(sqrt(2)-1),1}
The Attempt at a Solution
But I can't get these eigenvectors when I try to solve by hand! How do you solve in these situations?
What are these situations called?