I have this matrix
I found that its eigenvalues are :
-7.008, 10.972, 7.036
when I use these eigenvalues to find eigenvectors by using
(A-λI)X = 0
where X is the eigenvector, I reduce the matrix
(A-λI) to the RRE form, and I always end up with Identity matrix or
which results in X being
which is not possible, so I tried using Wolfram Alpha and it did give me vectors when I saw the solution steps the program multiplied both sides of the equation by a matrix.
what is the matrix and where did it come from?
I tried using Symbolab but it said that there are no eigenvectors for
λ=-7.00793 and λ=10.97198