Vector spaces/ Linear span/ SubspacesWatch
I am stuck on (ii) and (iii)
(i) Find a proper subset of V1 which is a subspace of R4 and contains a vector of the form (∗, ∗, 3, 3).
(ii) Is it possible to find a subset of V2 which satisfies the closure properties under vector addition and scalar multiplication?
I am having trouble deriving a subset.
If it must contain (*,*,3,3) that will constrain the subset a lot?
That would be a proper subset of V1 as the question asks for. There is nothing in the question about a linear span. However, it does seem a bit strange.
@ OP: What's the smallest subspace containing that vector? Is it a subset of V1?