In: Advanced Math
Use the Gauss–Jordan method to determine whether each of the following linear systems has no solution, a unique solution, or an infinite number of solutions. Indicate the solutions (if any exist).
i. x1+ x2 +x4 = 3
x2 + x3 = 4
x1 + 2x2 + x3 + x4 = 8
ii. x1 + 2x2 + x3 = 4
x1 + 2x2 = 6
iii. x1 + x2 =1
2x1 + x2=3
3x1 + 2x= 4