Verify that is an orthogonal set, and the find the orthogonal projection of 3 onto Span1 Verify that is an orthogonal set, and the find the orthogonal projection of 3 onto Span1
3 9. Find the orthogonal projection ofv-1.41 onto the subspace w 1 1 3 spanned by the vectors2 3 9. Find the orthogonal projection ofv-1.41 onto the subspace w 1 1 3 spanned by the vectors2
Find the orthogonal projection of v=[1 8 9] onto the subspace V of R^3 spanned by [4 2 1] and [6 1 2] (1 point) Find the orthogonal projection of v= onto the subspace V of R3 spanned by 2 6 and 1 2 9 projv(v)
Verify that {u7,42} is an orthogonal set, and then find the orthogonal projection of y onto Span{uq, 42}- 6 3 - 4 y- . 01 u:- -2 0 To verify that (14,42} is an orthogonal set, find uy • 42. u uy - (Simplify your answer.) The projection of y onto Span{44,42} is .. (Simplify your answers.)
Verify that (u,,uz) is an orthogonal set, and then find the orthogonal projection of y onto Span (u.uz). 1-17 [3] 2,,= -1 . uz = = To verify that (uy,uz) is an orthogonal set, find u. U. Uyuz = 0 (Simplify your answer.) The projection of y onto Span{u,, 42} is (Simplify your answers.)
Verify that (41.uz) is an orthogonal set, and then find the orthogonal projection of y onto Span{41.42}- y = 1 0 To verify that {0, 42} is an orthogonal set, find u, '42. u U2 - 0 (Simplify your answer) The projection of y onto Span{u, uz} is (Simplify your answers)
Find the orthogonal projection of v = |8,-5,-5| onto the subspace W of R^3 spanned by |7,-6,1| and |0,-5,-30|. (1 point) Find the orthogonal projection of -5 onto the subspace W of R3 spanned by 7 an 30 projw (V)
Compute the orthogonal projection of onto the line through and the origin. The orthogonal projection is
Problem 20. (3 points) Find the orthogonal projection of onto the subspace W of Rspanned by projw(v) =
Find (a) the orthogonal projection of b onto Col A and (b) a least-squares solution of Ax = b. 3 0 1 1 - 4 1 0 A= b= 5 1 0 1 - 1 4 0 a. The orthogonal projection of b onto Col A is b = (Simplify your answer.)