Hi,

for the matrix A with $\displaystyle [7 , 1/2]$ as row 1, and $\displaystyle [1/2, 4] $ as row 2 (sorry couldnt find syntax for matrices). i need to find eigenvalues and eigenvectors. Eigenvalues are fine, they are $\displaystyle (11 + (10)^{1/2})/2$ and $\displaystyle (11 - (10)^{1/2}/2)$. This is confirmed by the book im working from, and MATLAB. However, when i try to find the basis for the eigenspace corresponding to either of these i get the trivial solution i.e. $\displaystyle (x_1, x_2) = (0,0)$, which of course cant be right!

For the eigenvector $\displaystyle (11 + (10)^{1/2})/2$:

I think i am going right, up to the point where the matrix is$\displaystyle [(10)^{1/2}-3, -1]$ for row 1, and $\displaystyle [-1, (10)^{1/2}+3]$ for row 2. I think i must be going wrong from here.

any help is appreciated.

cheers,

Oli