Let L: be defined by .

Let S be the natural basis for and let be another basus for . Find the matrix representing L with respect to:

a) S

b) S and T

c) T and S

d) T

e) Compute L using the definition of L and also using the matrices obtained in (a), (b), (c) and (d).

Any help would be incredibly appreciated or an example of how a problenm like this is to be done.