1. The problem statement, all variables and given/known data Hi, for the matrix A = 0 1 0 1 0 0 0 0 2 I have calculated the eigen values, and have successfully calculated the eigen vectors for lamda = -1 and 1. However for lamda = 2 the solutions says the answer is: Eigen vector: A( 0, 0, 1) where A is arbitrary and the vector is a column vector. The problem I am having is seeing where this answer came from. 2. Relevant equations (A - lamda*I3)*(X, Y, Z) (column vector) = 0 3. The attempt at a solution As I said above I already know the correct Eigen vector for this particular Eigen value, I just cannot see where the answer has come from. From using the equation above I got the three following equations: -2X + Y = 0 -2Y = 0 0 = 0 From these equations I cannot see where you get an eigen vector including a value for Z. Any help would be very much appreciated, thanks in advance, Kamran.