Issue with Eigenvectors

• September 29th 2013, 01:54 PM
Issue with Eigenvectors [solved]
I put my problem in the pdf document since matrices are tedious in latex...I am trying to find eigenvectors for a linear system, I can produce the same eigenvalues given by wolfram (see pic of wolfram results)...but I cannot get the same eigenvectors and I cannot resolve the problem...or figure out what's wrong...

The pdf is the problem...the pic is the wolfram results...
• September 29th 2013, 02:35 PM
You are looking for a vector $\begin{pmatrix}x \\ y\end{pmatrix}$ such that $\begin{pmatrix}1&1 \\ 1&0\end{pmatrix}\begin{pmatrix}x \\ y\end{pmatrix} = \lambda \begin{pmatrix}x \\ y\end{pmatrix}$
So, you found your eigenvalues. Now, solve for the vector. Figure out the matrix multiplication, figure out the scalar multiplication, then solve for your $x$ and $y$. There should be an infinite number of solutions (the Eigenspace). Choose a non-zero solution.