求(2,1,3,0,4),(-1,2,3,1,o),(3,-1,0,-1,4)向量组秩的答案
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求(2,1,3,0,4),(-1,2,3,1,o),(3,-1,0,-1,4)向量组秩的答案
求(2,1,3,0,4),(-1,2,3,1,o),(3,-1,0,-1,4)向量组秩的答案
求(2,1,3,0,4),(-1,2,3,1,o),(3,-1,0,-1,4)向量组秩的答案
解: (a2^T,a1^T,a3^T) =
-1 2 3
2 1 -1
3 3 0
1 0 -1
0 4 4
r2+2r1,r3+3r1,r4+r1
-1 2 3
0 5 5
0 9 9
0 2 2
0 4 4
-->
-1 2 3
0 5 5
0 0 0
0 0 0
0 0 0
所以向量组的秩为2.
= 2.