(1) A-->
r2+2r1,r3+3r1,r2*(1/7)
1 2 -3 -2
0 7 -1 0
0 14 -2 0
r3-2r2
1 2 -3 -2
0 1 -1/7 0
0 0 0 0
r1-2r2
1 0 -19/7 -2
0 1 -1/7 0
0 0 0 0
基础解系为:a1=(19,1,7,0)',a2=(2,0,0,1)'
通解为:c1a1+c2a2,c1,c2为任意常数.
r2-3r1,r3-4r1
1 2 4 -3
0 -1 -6 5
0 -3 -18 15
r1+2r2,r3-3r2,r2*(-1)
1 0 -8 7
0 1 6 -5
0 0 0 0
基础解系为:a1=(8,-6,1,0)',a2=(7,-5,0,-1)'
通解为:c1a1+c2a2,c1,c2为任意常数