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Solve the system: x+2y+z2x+5yz3x2yz=3=4=5 Reduce its augmented matrix M to echelon form and then to row canonical form as follows: M=12325211134510021813431041002101328310841002101313103100210001013100010001213 Thus the system has the unique solution x=2,y=1,z=3 or, equivalently, the vector u=(2,1,3). We note that the echelon form of M already indicated that the solution was unique since it corresponded to a triangular system