Solve: x+y+z=1x + y + z = 1x+y+z=1, x−y+z=1x - y + z = 1x−y+z=1, 2x+y−z=12x + y - z = 12x+y−z=1.
(1/2,0,1/2)(1/2, 0, 1/2)(1/2,0,1/2)
(1,0,0)(1, 0, 0)(1,0,0)
(0,1,0)(0, 1, 0)(0,1,0)
(0,0,1)(0, 0, 1)(0,0,1)