
Question 27 Find the closest point to y in the subspace W spanned by uy and...
Find the closest point to y in the subspace W spanned by Vi and U2 3 3 1 1 1 y = , V1 = , U2 = 5 1 1
Find the closest point to y in the subspace W spanned by v1 and v2. 13 5 1 2 2 3 The closest point to y in W is the vector (Simplify your answers.)
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6.3.12 Find the closest point to y in the subspace W spanned by V1 and v2. - 11 1 -6 -1 0 1 Il Il y = V2 = 1 -1 0 9 2 3 The closest point to y in W is the vector (Simplify your answers.)
5/9/2019 the closest point to y in the subspace W spanned by u, and u Let W be the subspace spanned by 11. and u2. Write y as the sum of a vector in W and a vector orthogonal to w u, 12 13)- 12 25 3 5 6-5 | and b = | 4 l. Describe the general solution in parametric Describe all solutions of Ax = b, where A-1-2 -4 7 0 vector form
(1 point) Given v = find the coordinates for v in the subspace W spanned by U = , U2 = 0 and Ug = Note that uy, U, and Uz are orthogonal. v= u+ U2+ 213
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(10 points) Find the closest point to y in the subspace W spanned by vì and v2. -4 -2 у 0 -1 0 -1 2 3 1 1 1 1 (10 points) The given set is a basis for a subspace W. Use 0 0 0 the Gram-Schmidt process to produce an orthogonal basis for W.
Find the vector in the subspace W spanned by
{[-1,4,4,-4],[3,-1,-2,4]} which is closest to [0,6,2,-9].
0 4 Ỉ | 4 | ,1-2 (1 point) Find the vector in the subspace W spanned by which is closest to -9 Answer:
-15 and v2 Find the distance from y to the subspace W of R spanned by v1 and v2 Let y - 15 -13 given that the closest point to y in W is y- - 12 The distance is Simplify your answer. Type an exact answer, using radicals as needed.)
-4 -47 -3 (1 point) Find the vector in the subspace W spanned by which is closest to –4 2 -8 –12 –21 -3018 -61 Answer: -756 -1248
(1 point) Let W be the subspace of R spanned by the vectors 27 1 and -7 Find the matrix A of the orthogonal projection onto W. A =