For the following problems. find a basis for W If you remove a vector, write it as a linear combination of the ones you left. After doing this, extend the basis of W to a basis off the full vector...

For the following problems. find a basis for W If you remove a vector, write it as a linear combination of the ones you left. After doing this, extend the basis of W to a basis off the full vector space. (a) w =span a of oi fo 1 —1 11J 1 l -i (b) W = span { [1 1 0 —1] , [0 1 2 11,[1 0 1 —11,[1 1 —6 —31,[-1 —5 1 011 (c) W = span ft3 t2 — 2t + 1, + 1, t3 — 21,20 + 3t2 — 4t +31, (d) w = span [211 , [231 , [1011 , {7611 2 1 7 4
2. Let W = span {(2,4,0,8), (1,2,0,4), (4 8,3,25),(0,0,1,3),(3,6,-1,9)1C