K is a subfield of a field L
V is an L-Vector space
x1,x2,...,xn (1,2,..,n are subscripts) is a generating system(i hope thats the right translation
) of V as an L-Vector space
α1,α2,...,αm (1,2,..,m are subscripts) (those are alphas) is a generating system of L as a K-Vector space
show: the products αixj (i,j are subscripts) with i=1,2,...,m and j=1,2,...,n form a generating system of V as an K-Vector space
Last edited by skillgambler; 11-10-2009 at 11:08 AM.
Reason: yes, im confused too