题目
向量组 alpha_1, alpha_2, alpha_3 与向量组 beta_1, beta_2, beta_3 等价的充分必要条件是（）A. r(alpha_1, alpha_2, alpha_3) = r(beta_1, beta_2, beta_3)B. r(alpha_1, alpha_2, alpha_3) = r(alpha_1, alpha_2, alpha_3, beta_1, beta_2, beta_3)C. r(beta_1, beta_2, beta_3) = r(alpha_1, alpha_2, alpha_3, beta_1, beta_2, beta_3)D. r(alpha_1, alpha_2, alpha_3) = r(beta_1, beta_2, beta_3) = r(alpha_1, alpha_2, alpha_3, beta_1, beta_2, beta_3)
向量组 $\alpha_1, \alpha_2, \alpha_3$ 与向量组 $\beta_1, \beta_2, \beta_3$ 等价的充分必要条件是（）
A. $r(\alpha_1, \alpha_2, \alpha_3) = r(\beta_1, \beta_2, \beta_3)$
B. $r(\alpha_1, \alpha_2, \alpha_3) = r(\alpha_1, \alpha_2, \alpha_3, \beta_1, \beta_2, \beta_3)$
C. $r(\beta_1, \beta_2, \beta_3) = r(\alpha_1, \alpha_2, \alpha_3, \beta_1, \beta_2, \beta_3)$
D. $r(\alpha_1, \alpha_2, \alpha_3) = r(\beta_1, \beta_2, \beta_3) = r(\alpha_1, \alpha_2, \alpha_3, \beta_1, \beta_2, \beta_3)$
题目解答
答案
D. $r(\alpha_1, \alpha_2, \alpha_3) = r(\beta_1, \beta_2, \beta_3) = r(\alpha_1, \alpha_2, \alpha_3, \beta_1, \beta_2, \beta_3)$