求向量组(1,2,3,4)^T,(2,3,4,5)^T,(3,4,5,6)^T,(4,5,6,7)^T的秩
问题描述:
求向量组(1,2,3,4)^T,(2,3,4,5)^T,(3,4,5,6)^T,(4,5,6,7)^T的秩
答
解: (a1,a2,a3,a4) =
1234
2345
3456
4567
r4-r3,r3-r2,r2-r1
1234
1111
1111
1111
ri-r2,i=1,3,4
0123
1111
0000
0000
所以 r(a1,a2,a3,a4) = 2.