Let W be the subspace spanned by u, and u2, and write y as the sum of a vector in W and a vector orthogonal to W. -2 -2 y = 6. u, = 1 U2 = 1 -3 The sum is y =y+z, where y = is in W and z = is orthogonal to W. (Simplify your answers.)

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 54CR: Let V be an two dimensional subspace of R4 spanned by (0,1,0,1) and (0,2,0,0). Write the vector...
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Let W be the subspace spanned by u, and u2, and write y as the sum of a vector in W and a vector orthogonal to W.
- 2
- 2
y% =
6.
1
1
-3
The sum is y =y+z, where y = is in W and z = is orthogonal to W.
%3D
(Simplify your answers.)
Transcribed Image Text:Let W be the subspace spanned by u, and u2, and write y as the sum of a vector in W and a vector orthogonal to W. - 2 - 2 y% = 6. 1 1 -3 The sum is y =y+z, where y = is in W and z = is orthogonal to W. %3D (Simplify your answers.)
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