Given a matrix (2 2) that was obtained after the eigenvalues of a matrix

....................(3 3)

A= (1 2) were obtained. A set of all solutions to the linear equation

.....(3 2)

(2x1 2x2) = (0)

(3x1 3x2)... (0).

Gives an eigenvector x corresponding to the eigenvalue -1.

The set of eigenvectors I obtained was t*(1 ). Am I solving the linear

.................................................. .....(-3/2)

equation wrong to get the eigenvector? Please tell me what I need to do.

Thanks.