4. (20 pts) (a) (5 pts) Is A = an orthogonal set? Show your work. = = - 2+0+ 1+1 = 0 (orthogonal) prop F3/ Since all - 1+0+ 1+0 = 0 (orthogonal ) are orthogonal, it is an orthogonal 32 set. 2- 3+1 = 0 ( orthogonal ) ( b) (5 pts) Is B = an orthogonal set? Show your work. ANNC 3 - 3 + 0 + 2 + 1 = 0 ( orthogonal ) Since not all are orthogonal, POWN = - 2+0 +0 - 1 = -3 ( not orthogonal) B is not orthogonal set 3 6+6+6-1= 11 ( not orthogonal 2(c) (10 pts) The above sets A and B span the same subspace W. (That is, W = span(A) = 7 _g onto W. You do not need to simplify the addition 10 span(B).) Find the projection of of real numbers (e.g. fractions)