Degree of matrices

1. Mar 26, 2005

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.

2. Mar 26, 2005

Hurkyl

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

3. Mar 26, 2005

EvLer

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