求下列方程组何时有解,并在有解时求其全部解:

问题描述:

求下列方程组何时有解,并在有解时求其全部解:
X1+2X2-ax3=-1
x1+2x2+2x3=b
4x1+5x2+10x3=-1

增广矩阵 (A,b) =1 2 -a -11 2 2 b4 5 10 -1r1-r2,r3-4r20 0 -a-2 -1-b1 2 2 b0 -3 2 -1-4b交换行1 2 2 b0 -3 2 -1-4b0 0 -a-2 -1-b当a≠-2时有唯一解.当a=-2,b≠-1时无解当a=-2,b=-1时有无穷多解...