-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.)
3 1 Lety 1 1 V and V2 Find the distance from y to the subspace W of R* spanned by V, and V. given that the closest point to y in W - 2 -1 2 0 13 الميا - 1 -5 is y 9 The distance is (Simplify your answer. Type an exact answer, using radicals as needed)
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.)
Find the best approximation to z by vectors of the form C7 V + c2V2. 3 1 3 -1 -6 1 z = V2 4 0 -3 3 1 The best approximation to z is . (Simplify your answer.) - 15 - 8 8 - 1 Let y = , and v2 Find the distance from y to the subspace W of R* spanned by V, and vą, given 1 0 1 - 15 3 3 - 13 09 that...
#6 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.)
2 4 Let y = 5 uz = 2 Find the distance from y to the plane in R spanned by u, and uz. 3 1 2 The distance is (Type an exact answer, using radicals as needed.)
#8 6.3.15 6 -3 -2 Let y = u- U2 - 1 Find the distance from y to the plane in R3 spanned by u, and uz: 3 1 -2 The distance is (Type an exact answer, using radicals as needed.)
(1 point) -5 -2 -1 -2 2 Let y = Vi = V2 2 4 3 -6 1 -18 Compute the distance d from y to the subspace of R4 spanned by vi and v2. d
1) Determine if w is in the subspace spanned by v1, v2, v3 2) Are the vectors v1, v2, v3 linearly dependent or independent? justify your answer Question 2. (15 pts) Let vi=(-3 0 6)", v2= (-2 2 3]", V3= (0 - 6 37, and w= [1 11 9". (1). Determine if w is in the subspace spanned by V1, V2, V3. (2). Are the vectors V1, V2, V3 linearly dependent or independent? Justify your answer
-9 2. Let Vi-8.V2,andvs-2, let B -(V,V2,Vs), and let W be the subspace spanned , let B -(Vi,V2,V3), and let W be the subspace spanned by B. Note that B is an orthogonal set. 17 a. 1 point] Find the coordinates of uwith respect to B, without inverting any matrices or L-2 solving any systems of linear equations. 35 16 25 b. 1 point Find the orthogonal projection of to W, without inverting any matrices or solving any systems of...