设 $\alpha_{1}, \alpha_{2}, \dots, \alpha_{s}$ 均为 $n$ 维列向量， $A$ 是 $m \times n$ 矩阵，下列选项正确的是（ ） (A) 若 $\alpha_{1}, \alpha_{2}, \dots, \alpha_{s}$ 线性相关, 则 $A\alpha_{1}, A\alpha_{2}, \dots, A\alpha_{s}$ 线性相关. (B) 若 $\alpha_{1}, \alpha_{2}, \dots, \alpha_{s}$ 线性相关, 则 $A\alpha_{1}, A\alpha_{2}, \dots, A\alpha_{s}$ 线性无关. (C) 若 $\alpha_{1}, \alpha_{2}, \dots, \alpha_{s}$ 线性无关, 则 $A\alpha_{1}, A\alpha_{2}, \dots, A\alpha_{s}$ 线性相关. (D) 若 $\alpha_{1}, \alpha_{2}, \dots, \alpha_{s}$ 线性无关, 则 $A\alpha_{1}, A\alpha_{2}, \dots, A\alpha_{s}$ 线性无关.