1. The problem statement, all variables and given/known data Prove: A 2x2 matrix is nonsingular if and only if the determinant != 0 3. The attempt at a solution I need to prove this, using logic and maybe the theorem that a n x n matrix is nonsingular if and only if it is row equivalent to I_n. I could use a push in the right direction. I need to show a proof for both ways, as it is an if and only if statement.