The given matrix is a singular matrix, so solution does not exist.
{ 2 -2 -4 | -2
-2 3 1 | 7
3 -3 -6 | -3}
I CANT FIGURE THIS ONE OUT! I can only do it on a calculator, obviously without showing work, but, i need to figure this problem out showing all steps. I would really appreciate it if someone would be able to help me out, thanks.
Are you talking about the row reduced coefficient matrix or the row reduced augmented matrix (with the right side of the system of equations as the last column)? If any column of the row reduced augmented matrix has all "0"s except that the last column is not 0, then there exist no solution. If all rwos of the row reduced augmented matrix that have all "0" also have "0" in the last column, then there exist an infinite number of solutions.
In either case, there is not a "unique" solution.