A is a 3 x 3 matrix with two pivot positions (linear algebra problem)?

A is a 3 x 3 matrix with two pivot positions. Does the equation Ax = 0 have a nontrivial solution? and does the equation Ax = b have at least one solution for every possible b? (note that x and b are vectors). Please help. A step by step answer on how you get to the conclusion would be much appreciated, thanks.