Let W be the subspace spanned by u₁ and u₂, and write y as the sum of a vector in W and a vector orthogonal to W. y = 1 3, U₁ = 4 1 1 1 " U₂ = The sum is y = y + z, where y = | to W. (Simplify your answers.) - 2 3 -1 is in W and z= is orthogonal

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Let W be the subspace spanned by u₁ and u₂, and write y as the
sum of a vector in W and a vector orthogonal to W.
y =
1
3, U₁ =
4
1
1
1
"
U₂ =
The sum is y = y + z, where y = |
to W.
(Simplify your answers.)
- 2
3
-1
is in W and z=
is orthogonal
Transcribed Image Text:Let W be the subspace spanned by u₁ and u₂, and write y as the sum of a vector in W and a vector orthogonal to W. y = 1 3, U₁ = 4 1 1 1 " U₂ = The sum is y = y + z, where y = | to W. (Simplify your answers.) - 2 3 -1 is in W and z= is orthogonal
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