线性变换 } z_1 = 2x_1 + x_3 z_2 = x_3 z_3 = x_1 + 4x_3

线性变换 $\begin{cases} z_1 = 2x_1 + x_3 \\ z_2 = x_3 \\ z_3 = x_1 + 4x_3 \end{cases}$ 对应的三阶矩阵为()

A. $\begin{pmatrix} 0 & 1 & 2 \\ 1 & 0 & 0 \\ 1 & 0 & 4 \end{pmatrix}$

B. $\begin{pmatrix} 1 & 0 & 2 \\ 0 & 0 & 1 \\ 0 & 4 & 1 \end{pmatrix}$

C. $\begin{pmatrix} 2 & 0 & 1 \\ 0 & 0 & 1 \\ 1 & 0 & 4 \end{pmatrix}$