1. The problem statement, all variables and given/known data Given the system whose augmented matrix is 1 1 1 1 1 −1 0 a 0 1 b 0 Determine (if possible) conditions on a and b such that this system has (a) no solution (b) many solutions (c) a unique solution. 2. Relevant equations -Row reduction -No solution: row of zero -Many solutions: one or more free variables -Unique solution: pivot in every column 3. The attempt at a solution I tried to do it, but my answers were wrong. The good answers are a) b=1/2, a≠1 b) b=1/2, a=1 c) b≠1/2. I tried to reduce the matrix and I had: 0 0 1-2b 1-3a 1 0 b 2a 0 1 b a Can someone explain how to reduce the matrix properly or what am I doing wrong?