Can someone help me with these linear algebra questions.?

I attempted the first few questions but couldn't do the rest.

3. (a) The following set W is a subspace of V = 'sz W={p(rc) E792 |p(1) =06R} (Note: you do not need to prove that W is a subspace.) Find a basis of W. What is dim(W)? (b) Let W be the subspace of V = M3X3 consisting of trace zero matrices a b c A: d e f suchthata+e+i=0, h, i (recall that the trace is the sum of the diagonal entries.) Find a basis of W and state its dimension. (c) Let W be the set of antisymmetric matrices in V = M3X3. This is the set of 3 X 3 matrices A such that A = AT, where AT is the transpose matrix. Find a basis of, and the dimenion of, W. (d) In each of the parts above, dene the codimension of W C V by codimv (W) = dim(V) dim(W). Roughly speaking, the codimension is the \"number of conditions dening the subspace W in V\