Question

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

Answer 1

解: (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

ri-r2,i=1,3,4

0 1 2 3

1 1 1 1

0 0 0 0

0 0 0 0

所以 r(a1,a2,a3,a4) = 2.