Originally Posted by

**transgalactic** hatsoff proved a very important step

it showed that i divided the group in the wring way

i made some mistakes in latex

but its only about one formula for the dimention of the sum of spans

here is the edited:

ok so we need to find

dim(sp{v1,..vk,u,w})=dim(sp{v1,..,vk,u}+sp{w})

dim(sp{v1,..,vk,u}+sp{w})=dim(sp{v1,..,vk,u})+dim( sp{w})-$\displaystyle dim(sp{v1,..,vk,u}\cap sp{w})$=k+1

beacuse $\displaystyle dim(sp({v1,..,vk,u}}) \cap sp{w})=0$

so

dim(sp{v1,..vk,u,w})=k+1

correct?