ok iv got it solved, i just overlooked something!
for the matrix A with as row 1, and as row 2 (sorry couldnt find syntax for matrices). i need to find eigenvalues and eigenvectors. Eigenvalues are fine, they are and . 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. , which of course cant be right!
For the eigenvector :
I think i am going right, up to the point where the matrix is for row 1, and for row 2. I think i must be going wrong from here.
any help is appreciated.