Hello,

I need some help in understanding this problem...please someone make me understand this!

Let T: R^2---> R^2 be defined by T ((a1, a2)) = (a1 + a2, a1 - a2).

Let Beta = {(1,0), (0,1)} be an ordered basis..

A) Determine [T] Beta, the matrix representation of this linear transformation.

B) Explain in brief why T is an Isomorphism.

C) Determine [T inverse] Beta.

D) Use [T inverse] B to computer T inverse ((b1, b2)).