Hi,

I have the vectors:

u= [1 2 1]w= [-1 0 1]q= [2 0 -2]r= [0 2 2]

and I have the vector space:

S = { au+ bw| a, b ∈ R }

I know how to answer questions which ask if a vector belongs to S - e.g. (q= -2w)

But I do not know how to answer these questions:

(b) Dowandrspan the same subspace S?

(c) Dowandqspan S?

(d) Dou,wandqspan S?

I have no idea how to figure the above out being as my my material is vague and I have tried to search the internet for answers but don't understand any of it.