k1(a1+a3)+k2(a1-2a3)+k3(a2+a3)=0
=> (k1+k2)a1+k3a2+(k1-2k2+k3)a3=0
=> k1+k2=0 (1) and
k3=0 (2) and
k1-2k2+k3=0 (3)
from (3) and (2)
k1-2k2 = 0 (4)
(1)-(4)
3k2=0
=> k2 =0
from (1)
=> k3=0
=> a1+a3,a1-2a3,a2+a3线性无关
设向量组a1,a2,a3线性无关.证明向量组a1+a3,a1-2a3,a2+a3也与线性无关
设向量组a1,a2,a3线性无关.证明向量组a1+a3,a1-2a3,a2+a3也与线性无关
数学人气:168 ℃时间:2019-11-20 23:56:21
优质解答
我来回答
类似推荐
猜你喜欢
- 1古诗词中六句七字称什么词牌
- 2晓看红湿处,花重锦官城的“重”读chong还是zhong,为什么,说明原因
- 3What about these two films?___of them is interesting.
- 4已知关于x一元二次方程(a+c)x^2+2bx+(a-c)=0,其中a,b,c分别为△ABC三边的长
- 548米减少4分之一是多少
- 6某同学旅游时,划船行在两山之间,他大喊了一声,经过1s听到一个回声,又经过3s听到了另一个回声,问:两山相距多远?
- 7串联电路中,总电压除于总电阻等于总电流是否正确
- 8对于任意非零实数x,y,已知函数y=f(x)(x≠0),满足f(xy)=f(x)+f(y).
- 9On Saturdays and Sundays,we don't go to work.(同义句)
- 10“她做完家庭作业了吗?”英语.