eigenvector problem

**olip** · March 25th 2008, 09:26 AM

Hi,

for the matrix A with $[7 , 1/2]$ as row 1, and $[1/2, 4]$ as row 2 (sorry couldnt find syntax for matrices). i need to find eigenvalues and eigenvectors. Eigenvalues are fine, they are $(11 + (10)^{1/2})/2$ and $(11 - (10)^{1/2}/2)$ . 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. $(x_1, x_2) = (0,0)$ , which of course cant be right!

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

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

any help is appreciated.

cheers,

Oli

**olip** · March 25th 2008, 10:05 AM

hi again,

ok iv got it solved, i just overlooked something!

cheers,

Oli

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