I cant figure out why Maple can give eigenvectors for a matrix A, through Eigenvectors(A); but I cant use LinearSolve() to do this same calculation. (I get <0.,0.> as the answer).
Here is what I am doing (note, Eigenvectors(S) gives correct answer).
charPoly:=Determinant(x * I2 - S);
produces: EV := 7488.802926, 13.83707411
Then I try:
A:=EV*I2 - S;
produces: <0. , 0.>
Why cant I solve this matrix, or better yet, even use ReducedRowEchelonForm(A) so that I can paramertize the answer using free variables?
Am I missing something simple?