I tried to use the Physics package in maple 13 to make operations in the algebra M_2(E) - the algebra of 2x2 matrices over the grassmann (or exterior) algebra. E is a noncommutative algebra, and some of its elements anticommute with each other.

The problem is that when I multiply such matrices, the answer is not right. Maple multiply this matrices considering the entries as commutative, what is not true.

Here are the commands I used:

> with(Physics);