Question

求向量组的一个极大线性无关组和秩.

Answer 1

1 -1 2 1 1 -1 2 1 1 -1 2 1 1 -1 2 1

2 -2 4 -2 r1*(-2)+r2 0 0 0 -4 ===>0 0 0 1 ===> 0 3 0 -4

3 0 6 -1 r1*(-3)+r3 0 3 0 -4 0 3 0 -4 0 0 0 1

0 3 0 -4 0 3 0 -4 0 0 0 0 0 0 0 0

R=3