State which of the statement is false?

Options

A. If A and B are matrices of order `mxxn and nxxp` respectively, then AB is a matrix of order `mxxp`.
B. Multiplication of matrices, in general, does not satisfy the commutative law.
C. For two matrices A and B, the product AB may not be equal to the product BA when both AB and BA are defined and they are of the same order.
D. Multiplication of matrices does not satisfy the associative law.

Answer

D