sorry about the late reply... I am kinda new to physics forum...
I am actually completely lost with this problem... well i would guess the Bu U Bw is linearly independent.. right? because any basis by definition is linearly independent... so wouldn't their union be independent as well? i don't...
Let V be a 9 dimensional vector space and let U and W
be five dimensional subspaces of V with the bases Bu
and Bw respectively,
(a) show that if Bu intersect Bw is empty then
Bu union Bw is linearly dependen
(b)use part (a) to prove U intersect W is not
equal to the 0 vector
now i have...