Just by inspection, you can see that an eigenvector that will work is <1,0,-1>.
The matrix A, given by
has eigenvalues 1,2,4. Find the set of corresponding vectors.
Every time I perform these operations I only get my answers as 0's. I'll geve an example.
taking as 1
Solving
And so on. Could someone please direct me as to what I am doing wrong?