In each case find U-1 and compute dim U1 and dim U1
(a) U = span{[l 1 2 0], [3 -1 2 1],
[1 -3 -2 1]} in R4
(b) U = span{[l 1 0 0]} in R4
(c) U = span{l, x} in P2 with
(P. q) = P(0)q(0) + p(1)q(1) + p(2)q(2)
(d) U = span{x} in P2 with
(p, q) = ˆ«l0p(x)q(x)dx
(e)

(f)

in Mzz with(X, Y) trXY) U span with(X,Y)-tr(XP)