若向量组$alpha_{1},alpha_{2},alpha_{3},alpha_{4}$线性无关,则向量组$alpha_{1}-alpha_{2},alpha_{2}-alpha_{3},alpha_{3}-alpha_{4},alpha_{4}-alpha_{1}$也线性无关.
因为$(alpha_{1}-alpha_{2})+(alpha_{2}-alpha_{3})+(alpha_{3}-alpha_{4})+(alpha_{4}-alpha_{1})=0$,所以$alpha_{1}-alpha_{2},alp...
设$alpha_{1},alpha_{2},alpha_{3}$是某齐次线性方程组的基础解系,下面向量组中可作为该方程组基础解系的是()。
(B),(D)中向量组线性相关,不能作为基础解系;(C)中向量组尽管线性无关,但与$alpha_{1},alpha_{2},alpha_{3}$不等价,也不能作为基础解系。
3.假设12个销售价格记录组已经排序如下:5,10,11,13,15,35,50,55,72,92,204,215使用如下每种方法将它们划分成四个箱。等频(等深)划分时,15在第几个箱子内()
已知向量组(alpha_{1},alpha_{2},alpha_{3},分别可由向量组beta_{1},beta_{2},beta_{3},线性表示,即begin{equation}left{begin{aligned}alpha_{1}&=beta_{1}-beta_{2}+beta_{3}alpha_{2}&=beta_{1}+beta_{2}-beta_{3}alpha_{3}&=-beta_{1}+beta_{2}+beta_{3}end{aligned}right.end{equation},)(1)试写出这一线性表示的系数矩阵(K=(quad)。)