题目
设 [beta_1 beta_2 beta_3] = [alpha_1 alpha_2 alpha_3]} -2 & 1 & 1 1 & -2 & 1 1 & 1 & -2 ，那么，A. beta_1, beta_2, beta_3 线性无关B. 若 alpha_1, alpha_2, alpha_3 线性无关，则 beta_1, beta_2, beta_3 线性无关C. beta_1, beta_2, beta_3 线性相关D. 若 beta_1, beta_2, beta_3 线性相关，则 alpha_1, alpha_2, alpha_3 线性相关
设 $[\beta_1 \ \beta_2 \ \beta_3] = [\alpha_1 \ \alpha_2 \ \alpha_3]\begin{pmatrix} -2 & 1 & 1 \\ 1 & -2 & 1 \\ 1 & 1 & -2 \end{pmatrix}$，那么，
A. $\beta_1, \beta_2, \beta_3$ 线性无关
B. 若 $\alpha_1, \alpha_2, \alpha_3$ 线性无关，则 $\beta_1, \beta_2, \beta_3$ 线性无关
C. $\beta_1, \beta_2, \beta_3$ 线性相关
D. 若 $\beta_1, \beta_2, \beta_3$ 线性相关，则 $\alpha_1, \alpha_2, \alpha_3$ 线性相关
题目解答
答案
C. $\beta_1, \beta_2, \beta_3$ 线性相关