题目
设alpha_(1),alpha_(2),alpha_(3),alpha_(4)线性无关，且alpha_(1),alpha_(2),alpha_(3),alpha_(4),beta线性相关，则下列命题正确的是()A. alpha_(1)不能由alpha_(2),alpha_(3),alpha_(4),beta线性表示B. beta为零向量C. 以上都不正确D. beta可由alpha_(1),alpha_(2),alpha_(3),alpha_(4)唯一表示.
设$\alpha_{1},\alpha_{2},\alpha_{3},\alpha_{4}$线性无关，且$\alpha_{1},\alpha_{2},\alpha_{3},\alpha_{4},\beta$线性相关，则下列命题正确的是()
A. $\alpha_{1}$不能由$\alpha_{2},\alpha_{3},\alpha_{4},\beta$线性表示
B. $\beta$为零向量
C. 以上都不正确
D. $\beta$可由$\alpha_{1},\alpha_{2},\alpha_{3},\alpha_{4}$唯一表示.
题目解答
答案
D. $\beta$可由$\alpha_{1},\alpha_{2},\alpha_{3},\alpha_{4}$唯一表示.