1) Apply the transformation T to each and every element of E and write the result as a linear combination of E itself;

2) Take thetranspose, if you apply transformations from the left and vectors from the right), ordirectly(otherwise) the coefficients matrix of the above: this is .

For example:

...

So the first two columns of are (or the first two rows if you write the map on the right of the vector).

Tonio