求向量组a1=(1,2,1,3),a2=(4,-1,-5,-6),a3=(1,-3,-4,-7),a4=(3,6,3,9

来源：学生作业帮编辑：搜搜做题作业网作业帮分类：数学作业时间：2024/07/23 05:21:33

求向量组a1=(1,2,1,3),a2=(4,-1,-5,-6),a3=(1,-3,-4,-7),a4=(3,6,3,9)的一个极大线性无关组,
上次的少了个负号

1 4 -1 3
2 -1 -3 6
1 -5 -4 3
3 -6 -7 9
r4-r2-r3,r3-r1,r2-2r1
1 4 -1 3
0 -9 -1 0
0 -9 -3 0
0 0 0 0
r3-r2
1 4 -1 3
0 -9 -1 0
0 0 -2 0
0 0 0 0
r3*(-1/2),r1+r3,r2+r3
1 4 0 3
0 -9 0 0
0 0 1 0
0 0 0 0
r2*(-1/9),r1-4r2
1 0 0 3
0 1 0 0
0 0 1 0
0 0 0 0
a1,a2,a3是一个极大无关组,a4=3a1

求向量组a1=(1,2,1,3),a2=(4,-1,-5,-6),a3=(1,-3,-4,-7),a4=(3,6,3,9 求向量组a1=(2,1,4,3),a2=(-1,1,-6,6),a3=(-1,-2,2,-9),a4=(1,1,-2,7 向量组（1)a1,a2,a3(2)a1,a2,a3,a4(3)a1,a2,a3,a5 R(1)=R(2)=3,R(3)= 求向量组a1=(1,-1,2,4),a2=(0,3,1,2),a3=(1,8,5,10),a4=(2,-5,3,6),a 设A=(a1,a2,a3,a4),ai(i=1,2,3,4)为5维向量,若a2,a3,a4线性无关,且a4=a1+2a2 设向量组a1=(1,2,1,3),a2=(4,-1,-5,-6),a3=(1,-3,-4,-7),a4=(2,1,-1 设A=(a1,a2,a3,a4),ai(i=1,2,3,4)为5维列向量,若a2,a3,a4线性无关,且a4=a1+2a 求向量组极大无关组求向量组a1=(1,2,3,4) a2=(-1,-1,-2,-2) a3=(2,3,5,6) a4=( 已知（x-1）^5=a5x^5+a4^4+a3^3+a2^2+a1^1+a0,则a5+a4+a3+a2+a1+a0=?, 设矩阵A=[a1.a2.a3.a4],其中a2.a3.a4线性无关,a1=2a3-3a4.向量b=a1+2a2+3a3+ 向量组a1=(2,1,5,10) a2=(-1,2,-2,0) a3=(-1,1,-2,-4) a4=(3,0,7,14 已知整数a1，a2，a3，a4，…满足下列条件：a1=0，a2=-|a1+1|，a3=-|a2+2|，a4=-|a3+3