1. The problem statement, all variables and given/known data For the matrix A = -1, 5 -2, -3 I found the eigenvalues to be -2 + 3i and -2 - 3i. Now I need some help to find the eigenvectors corresponding to each. 2. Relevant equations 3. The attempt at a solution For r = -2 + 3i, I plugged that into the (A - Ir) matrix, which I found to be 1-3i, 5 -2, -1-3i I multiply that matrix with the vector (x y) and set it equal to (0 0) right? If I do that I get the following 2 equations: (1-3i)x + 5y = 0 -2x - (-1-3i)y = 0 Did I make a mistake somewhere, or how should I go on to find the eigenvector? Thanks!