(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 2 AT, Where AT is the transpose matrix....

Can some one help me with these 2 questions please!

(c) Let W be the set of anti—symmetric matrices in V = M3x3. This is the set of 3 X 3matrices A such that A 2 —AT,Where AT is the transpose matrix. Find a basis of, and the dimenion of, W. (d) In each of the parts above, define the codimension of W C V bycodimV(W) = dim(V) — dim(W). Roughly speaking7 the codimension is the “number of conditions defining the subspaceW in V”, though this is not always true if those conditions are redundant. For part c)7 compute the codimension and determine the number of conditions that define W in V. Are these number equal?—