1. The problem statement, all variables and given/known data I have the 3x3 matrix C=(1,-1,1; 2,0,1+i; 0,1+i,-1) and I want to find its nullspace (a set of vectors that span that subspace). 3. The attempt at a solution So first I have reduced the matrix to row echelon form and I got this matrix: (1,-1,1; 0,1,-0.5+0.5i; 0,0,0) How do I read off from this the nullspace of this matrix? What is a basis for this nullspace? By "i" I mean imaginary since this is a complex matrix.