Let T be defined on real two dimensional plain, and that:
(x,y)T = (ax+by, cx+dy) ; a, b, c, d real constants.
a, b, c, d will T be an isomorphic or isomorphism?
First, we show that T is a vector space homomorphism.
For any two vectors (x1,y1), (x2,y2) and real number r, we ...
This is a proof regarding vector space homomorphisms.