求向量组a1=(1,2,1,3),a2=(4,-1 - 知识问答

求向量组a1=(1,2,1,3),a2=(4,-1,-5,-6),a3=(1,-3,-4,-7),a4=(3,6,3,9

2个回答

1 4 -1 3
2 -1 -3 6
1 -5 -4 3
3 -6 -7 9
r4-r2-r3,r3-r1,r2-2r1
1 4 -1 3
0 -9 -1 0
0 -9 -3 0
0 0 0 0
r3-r2
1 4 -1 3
0 -9 -1 0
0 0 -2 0
0 0 0 0
r3*(-1/2),r1+r3,r2+r3
1 4 0 3
0 -9 0 0
0 0 1 0
0 0 0 0
r2*(-1/9),r1-4r2
1 0 0 3
0 1 0 0
0 0 1 0
0 0 0 0
a1,a2,a3是一个极大无关组,a4=3a1

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