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 = 6 5, U₁ = 1 U₂ = 7 The sum is y = y + z, where y = (Simplify your answers.) - 1 3 -2 is in W and z= is orthogonal to W. ...

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 =
- 6
5
7
1
, U₁ = 1
1, ₂ =
1
1
3
- 2
The sum is y = y + z, where y = is in W and z=
(Simplify your answers.)
is orthogonal to W.
***
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 = - 6 5 7 1 , U₁ = 1 1, ₂ = 1 1 3 - 2 The sum is y = y + z, where y = is in W and z= (Simplify your answers.) is orthogonal to W. ***
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