1. The problem statement, all variables and given/known data a)Construct a 3x3 matrix, not in Echelon form, whose columns do NOT span R3. Prove. b)Can a set of 3 vectors Span all of R4? Explain. 2. Relevant equations 3. The attempt at a solution a)OK...I can make up plenty of matrices in Echelon form that fit, but how do I come up with one before it reaches Echelon form? Would it be like: 6 8 -4 3 2 5 1 -1 -2 -5 -1 1 because the last equation will "zero out"? b)Someone told me this could happen, but I just don't see how. I thought every basis for R4 had to contain exactly 4 vectors?