求向量组(1,2,3,4)^T,(2,3,4,5)^T,(3,4,5,6)^T,(4,5,6,7)^T的轶
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的轶
答
(a1,a2,a3,a4) =
1 2 3 4
2 3 4 5
3 4 5 6
4 5 6 7
r4-r3,r3-r2,r2-r1
1 2 3 4
1 1 1 1
1 1 1 1
1 1 1 1
r1-r2,r3-r2,r4-r2
0 1 2 3
1 1 1 1
0 0 0 0
0 0 0 0
所以向量组的秩为2