Let V be the subspace of R' spanned by the vectors V1 = (1, 1, –1, –1), v½ = (-1,0, 1,0), v3 = (0,1,0, –3), v4= (0, 1,0, 1) (a) Find a basis B for V using given vectors vi, i = 1,2, 3, 4. (b) Use the Gram-Schmidt process to transform B into an orthonormal basis B'. (c) Find [u]B using u in part (b).
Let V be the subspace of R' spanned by the vectors V1 = (1, 1, –1, –1), v½ = (-1,0, 1,0), v3 = (0,1,0, –3), v4= (0, 1,0, 1) (a) Find a basis B for V using given vectors vi, i = 1,2, 3, 4. (b) Use the Gram-Schmidt process to transform B into an orthonormal basis B'. (c) Find [u]B using u in part (b).
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 41CR: Let B={(0,2,2),(1,0,2)} be a basis for a subspace of R3, and consider x=(1,4,2), a vector in the...
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