Re: direct sum of subspaces

EDIT: sorry made a mistake in my working.

Does anyone have any ideas on how to prove it?

Thanks

Re: direct sum of subspaces

you are given a clue as to where to start (a fact to use). since i am not an unkind person i wll give you another: what is dim(U1 + U2)?

what can you say therefore about dim((U1+U2)+U3),....,dim(U1+U2+....+Uj)?

Re: direct sum of subspaces

Re: direct sum of subspaces

if dim(V) = n, what must any n-dimensional subspace be?

Re: direct sum of subspaces