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. 1 40-0-0 5 1 = 5 , 6 3 y = -1 The sum is y =y + z, where y= (Simplify your answers.) -2 -1 is in Wand z= is orthogonal to W.

Algebra and Trigonometry (6th Edition)
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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.
1
00-0
5, U₁=
=
3
y =
6
The sum is y = y +z, where y =
(Simplify your answers.)
-2
-1
is in W and Z =
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. 1 00-0 5, U₁= = 3 y = 6 The sum is y = y +z, where y = (Simplify your answers.) -2 -1 is in W and Z = is orthogonal to W.
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