Matrix \( \mathrm{A} \) has \( m \) rows and \( \mathrm{n}+5 \) col...

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Matrix \( \mathrm{A} \) has \( m \) rows and \( \mathrm{n}+5 \) columns, matrix \( \mathrm{B} \)
\( \mathrm{P} \) has \( m \) rows and \( 11-n \) columns. If both \( \mathrm{AB} \) and \( \mathrm{BA} \)

W exist, then:
(A) \( \mathrm{AB} \) and \( \mathrm{BA} \) are square matrices
(B) \( \mathrm{AB} \) and \( \mathrm{BA} \) are of order \( 8 \times 8 \) and \( 3 \times 13 \), respectively
(C) \( \mathrm{AB}=\mathrm{BA} \)
(D) None of these
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