1. ## Vectiorial subspaces

Can someone provide me the steps to prove that those 3 are vectorial subspaces? I usually know what to do for R3 but in R4 I really have no clue .

2. ## Re: Vectiorial subspaces

(A) and (c) are subspace. For (b), pick any element and multiply it by a negative scalar. Is it still in the set?

3. ## Re: Vectiorial subspaces

Originally Posted by SlipEternal
(A) and (c) are subspace. For (b), pick any element and multiply it by a negative scalar. Is it still in the set?
How can $(0,0,0,0)$ belong to (c)?
SEE HERE

4. ## Re: Vectiorial subspaces

Originally Posted by Plato
How can $(0,0,0,0)$ belong to (c)?
SEE HERE
Oops, good point! My mistake.