ECON 710 Midterm: ECON 710 UW Madison Midterm 2007a
Document Summary
Spring 2007: solving the square: (w^ei + (1 (cid:0) w) ~ei)2 = w2 1 n. 1 n nxi=1 where m = i (cid:0) x (x 0x)(cid:0)1 x 0; m1 = i (cid:0) x1 (x 0 inequality uses the fact that since x1 lies in the span of x; m m1 = m : 1 and x = [x1; x2]: the third y0 (i (cid:0) p (cid:0) p1 + p1) y = y0 (i (cid:0) p ) y = : This means that the top equation simplies to if we set noting that. 1 n where (cid:0)w2 + 2w (1 (cid:0) w)(cid:1) ^(cid:27)2 + (1 (cid:0) w)2 ~(cid:27)2 = (1 (cid:0) a) ^(cid:27)2 + a~(cid:27)2 a = (1 (cid:0) w)2 ; 1 (cid:0) (1 (cid:0) w)2 = w2 + 2w (1 (cid:0) w) : tr (m d) = 1 n tr(cid:16)(cid:16)i (cid:0) x (x 0x)(cid:0)1 tr (d) (cid:0) tr(cid:16)x (x 0x)(cid:0)1 tr (cid:18) 1 nxi=1 nxi=1 bn = tr (cid:18) 1.
