Hey jezb5.

I used a change of basis formulation to get the answer and the answer I got was (with Octave):

>> E

E =

1 0 0

1 1 0

0 1 1

>> M

M =

0 1 -1

1 0 1

1 1 0

>> inv(E)*M

ans =e

0 1 -1

1 -1 2

0 2 -2

This assumes that the transformation is done in the basis of the domain and then a conversion to the standard basis is done afterwards.

I can walk you through the ideas if it is confusing.