Gauss-Jordan elimination
(1) Solve using Gauss-Jordan elimination
x1 + x2 = 0, -x1 + x2 + x3 = -1, -x2 + x3 = 2
(2) Determine the solutions of the system of equations in three variables whose matrix is row equivalent to [1 0 -1 1; 0 1 3 1; 0 0 0 0]
Gauss-Jordan elimination