Let V be a vector space, and T:V->V a linear transformation such that T(5v1-3v2)= 2v1-5v2 and T(-3v1=2v2) =2v1-4v2. Then T(v1)=av1=bv2, T(v2)=cv1=dv2 and T(4v1-4v2)=ev1+fv2