Linear Algebra

1 3 0 Let U1 = .. 2 , u2 = 3 , and U3 = u . Note that u.l and I12 are orthagonal but that U3 is not -1 -3 1 orthogonal to u, or up. It can be shown that u is not in the subspace W spanned by u, and u,. Use this fact to construct a nonzero vector v in R that is orthogonal to u, and u2. A nonzero vector in R that is orthogonal to u, and u, is v =\fW/ N WIN 2 Let y =|7 U1 = W/N U2 w/ - and W = Span zu, ,u2). Complete parts (a) and (b).W - W N Ca. Let U = U U2 . Compute U U and UU UTU= and UU= (Simplify your answers.)b. Compute projwy and (UUT) y. projwy = and (UUT) y = (Simplify your answers. )