-15 and v2 Find the distance from y to the subspace W of R spanned by...
- 4 -1 -2 1 Let y = V1 = and V2 Find the distance from y to the subspace W of R4 spanned by V, and V2, given that the closest 1 -1 0 13 3 -1 -5 point to y in W is y= نيا 9 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.)
#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.)
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...
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
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
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.)
1- 2- (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.
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