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Check if AB is defined:
Matrix A is a 2x3 matrix, and matrix B is a 3x2 matrix. Since the number of columns in A (3) is equal to the number of rows in B (3), the product AB is defined.
Check if BA is defined:
Matrix B is a 3x2 matrix, and matrix A is a 2x3 matrix. Since the number of columns in B (2) is equal to the number of rows in A (2), the product BA is defined.
Conclusion:
Since both AB and BA are defined, the correct statement is (C).
Correct Answer: AB and BA, both are defined.