设向量组A:a1=(1,4,1,0),a2=(2,1,-1,3),a3=(1,0,-3,-1),a4=(0,3,-1,-4),求向_数学解答

设向量组A:a1=(1,4,1,0),a2=(2,1,-1,3),a3=(1,0,-3,-1),a4=(0,3,-1,-4),求向量组的秩及一个极大线性无关组

人气：140 ℃　时间：2020-05-02 15:46:49

解答

(a1,a2,a3,a4)=1 2 1 04 1 0 31 -1 -3 -10 3 -1 -4r1-r3,r2-4r30 3 4 10 5 12 71 -1 -3 -10 3 -1 -4r2-2r1,r3-r10 3 4 10 -1 4 51 -1 -3 -10 0 -5 -5r1+3r20 0 16 160 -1 4 51 -1 -3 -10 0 -5 -5r1*(1/16),r4+5r10 0...