computing eigenvalue and eigenvector: assume A is a vector where A=[a b;c d] in order to find eigen value we simplify the matrix A as ax1+bx2=lamdax1 and cx1+dx2=lamdax2 solve lamda1 and lamda2 from these two equation. this is our eigenvalue. solve x1 and x2. and write it as a matrix form.this is our eigenvector