Colt Steele
Posted on Friday, 02 April, 2004 - 09:15 pm:

what are the properties that a function 'T: V -> W' must have to be classified as a linear transformation.
David Loeffler
Posted on Friday, 02 April, 2004 - 11:20 pm:

Well, V and W must be vector spaces (over the same base field), and T must preserve the vector space structure, that is T(lx+my)=lT(x)+mT(y).

David