单项选择题
设`n`维列向量组`\alpha_1,\alpha_2,\cdots,\alpha_m(m lt n)`线性无关,则`n`维列向量组`\beta_1,\beta_2,\cdots,\beta_m`线性无关的充要条件为( )
A.向量组`\alpha_1,\alpha_2,\cdots,\alpha_m`可由向量组`\beta_1,\beta_2,\cdots,\beta_m`线性表示;
B.向量组`\beta_1,\beta_2,\cdots,\beta_m`可由向量组`\alpha_1,\alpha_2,\cdots,\alpha_m`线性表示;
C.向量组`\alpha_1,\alpha_2,\cdots,\alpha_m`与向量组`\beta_1,\beta_2,\cdots,\beta_m`等价;
D.矩阵`A=(\alpha_1,\alpha_2,\cdots,\alpha_m)`与矩阵`B=(\beta_1,\beta_2,\cdots,\beta_m)`等价。