All matrix multiplications are associative
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This is an example of the commutative property of multiplication
No, multiplication is associative. 5 x (4 x 3) = 4 x (5 x 3) = 3 x (5 x 4) = 5 x 4 x 3 = 60
The commutative property works for adding and multiplying e.g. 2+4=4+2 and 3x4=4x3. But it doesn't work for subtraction and division so 5-3≠3-5 and 6÷2≠2÷6 so subtraction and division could be considered as exceptions.
It means that if you change the grouping (parentheses) of a multiplication problem, you will still get the same answer. Ex. (3 x 2) x 4 = 24 and 3 x (2 x 4) = 24. You changed the location of the parentheses, but the product always remains 12.