You can multiply a \( 2 \times 3 \) matrix by a \( 3 \times n \) matrix, where \( n \) can be any integer.
From the options given, a \( 2 \times 12 \) matrix would be a valid multiplication partner for a \( 2 \times 3 \) matrix, because the inner dimensions match (3 in the first matrix and 3 in the second).
So, the correct response is:
2X12