Finding A^3: Multiplication of Matrices

[EvLer]

Hi everyone,
I know that multiplication of matrices is not commutative, then let's say I am asked to find A^3 how would I do that:
A * A * A = (A * A) * A, i.e. first in the parenthesis and then the last one?

Thanks.

 

[Hurkyl]

However, matrix multiplication is associative: you can parenthize however you like.

 

[EvLer]

OoooK, thanks, that's what I have been trying to distinguish: commutativity and associativity.