Let U and W be vector spaces over a field K. Let V be the set of ordered pairs (u,w) where
(This space V is called the external direct product of U and W.)
If U is a set, let
Proove that the set of oil
All bases considered in these are assumed to be ordered bases. In Exercise, compute the coordinate vector of v with respect to the giving basis S for V. V is
(7) If A and B are a square matrix of the same order. Prove that