设矩阵\(A,B\)均为\(n\)阶方阵，若\(Ax = 0\)与\(Bx = 0\)同解，则（  ）.

A. \(\begin{pmatrix}A&O\\E&B\end{pmatrix}x = 0\)仅有零解

B. \(\begin{pmatrix}AB&B\\O&A\end{pmatrix}x = 0\)仅有零解

C. \(\begin{pmatrix}A&B\\O&B\end{pmatrix}x = 0\)与\(\begin{pmatrix}B&A\\O&A\end{pmatrix}x = 0\)同解

D. \(\begin{pmatrix}AB&B\\O&A\end{pmatrix}x = 0\)与\(\begin{pmatrix}BA&A\\O&B\end{pmatrix}x = 0\)同解