Let W = {[x1] |
{[0] | x1, x4 ∈ F17}
{[0] |
{[x1] |
You may take it as given that W is a subspace of F17. (a) Guess a basis B for W. No explanation necessary. (b) Prove that B spans W, i.e., prove that every x ∈ W is a linear combination of the vectors in B.