Let V
be a vector space, and T:V→V
a linear transformation such that:
T(2v1+3v2)=−5v1−4v2
and T(3v1+5v2)=3v1−2v2
Then:
T(v1)= ? v1+ ? v2
T(v2)= ? v1+ ? v2
T(4v1+2v2)= ? v1+ ? v2