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