Matrix multiplication is associative. Al- though it's not commutative, it is associative. ... Since matrix multiplication corresponds to composition of linear transforma- tions, therefore matrix multiplication is associative.

Does multiplication have the associative property?

What is the Associative Property of Multiplication in Math? The associative property of multiplication states that the product of three or more numbers remains the same regardless of how the numbers are grouped. For example, 3 × (5 × 6) = (3 × 5) × 6.

How is matrix multiplication commutative?

For matrix multiplication to work, the columns of the second matrix have to have the same number of entries as do the rows of the first matrix. ... In particular, matrix multiplication is not "commutative"; you cannot switch the order of the factors and expect to end up with the same result.