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)
(1 point) Find the orthogonal projection of onto the subspace W of R* spanned by ņ + 9 and Otac projw() = 1
(1 point) Find the orthogonal projection of 11 onto the subspace W of R4 spanned by 1 2 -2 and *20 -2 projw() =
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)
(3 points) Let W be the subspace of R spanned by the vectors 1and 5 Find the matrix A of the orthogonal projection onto W A-
(3 points) Let W be the subspace of R spanned by the vectors 1and 5 Find the matrix A of the orthogonal projection onto W A-
-4 -2 -5 (1 point) Find the orthogonal projection of ū onto the subspace W spanned by -26 11 -35 -3 -3 2 3 -219 -806 projw(Ū) = -17 -950
0 17 (2 points) Find the projection of5onto the subspace W of R3 spanned by6 U- -1 projw (V)
0 17 (2 points) Find the projection of5onto the subspace W of R3 spanned by6 U- -1 projw (V)
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
Problem 5. (1 point) Find the orthogonal projection of -2 -6 onto the subspace W of R spanned by 4 -2 -7 projw (v) preview answers
(12 points) Let vi = 1 and let W be the subspace of R* spanned by V, and v. (a) Convert (V. 2) into an ohonormal basis of W NOTE: If your answer involves square roots, leave them unevaluated. Basis = { (b) Find the projection of b = onto W (c) Find two linearly independent vectors in R* perpendicular to W. Vectors = 1