解: 增广矩阵= 1 -1 1 -1 1 1 -1 -1 1 0 1 -1 -2 2 -1/2 r2-r1,r3-r1 1 -1 1 -1 1 0 0 -2 2 -1 0 0 -3 3 -3/2 r2*(-1/2), r1-r2,r3+3r2 1 -1 0 0 1/2 0 0 1 -1 1/2 0 0 0 0 0 方程组的一般解为: (1/2,0,1/2,0)'+c1(1,1,0,0)'+c2(0,0,1,1)'.
