I am trying to use Maxima to simplify a symbolic matrix expression. I've learned that there are the non-commutative multiplication .
and the non-commutative power ^^
operators.
So I can write something like the following:
e1: X^^(-1) . (X^^(-1) + Y^^(-1))^^(-1) . Y^^(-1);
How could I force Maxima to apply the rule of the inverse matrix product here?
A^^(-1) . B^^(-1). C^^(-1)
is (C.B.A)^^(-1)
, and then the initial expression is simplified to (X+Y)^^(-1)
.