- #1
Hercuflea
- 596
- 49
Homework Statement
I'm doing an ODE for homework and I can't find the eigenvector for this matrix (sorry, I don't know how to make matrices on here. Consider these as one matrix.):
[ 2 0] [v[itex]_{1}[/itex]] = [0]
[ 1 1] [v[itex]_{2}[/itex]] = [0]
Homework Equations
The only way he has taught us to find eigenvectors seems mostly like guesswork to me.
The Attempt at a Solution
2v[itex]_{1}[/itex] + 0v[itex]_{2}[/itex] = 0
v[itex]_{1}[/itex] + v[itex]_{2}[/itex] = 0
So 2v[itex]_{1}[/itex] = 0 =====> v[itex]_{1}[/itex] = 0
But v[itex]_{1}[/itex] + v[itex]_{2}[/itex] = 0, so v[itex]_{2}[/itex] = 0 as well. But eigenvectors cannot consist of all zeros?