Show that (u₁, U₂, U3) is an orthogonal basis for R³. Then express x as a linear combination of the u's. 2 1 44 2. U31, and x = 2 U₁= 5 -5,4₂= 0 - 5 Help me solve this Which of the following criteria are necessary for a set of vectors to be an orthogonal basis for a subspace W of R? Select all that apply. A. The vectors must all have a length of 1. B. The vectors must form an orthogonal set. .... C. The vectors must span W. D. The distance between any pair of distinct vectors must be constant. View an example Get more help. Clear all Check a
Show that (u₁, U₂, U3) is an orthogonal basis for R³. Then express x as a linear combination of the u's. 2 1 44 2. U31, and x = 2 U₁= 5 -5,4₂= 0 - 5 Help me solve this Which of the following criteria are necessary for a set of vectors to be an orthogonal basis for a subspace W of R? Select all that apply. A. The vectors must all have a length of 1. B. The vectors must form an orthogonal set. .... C. The vectors must span W. D. The distance between any pair of distinct vectors must be constant. View an example Get more help. Clear all Check a
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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Transcribed Image Text:Show that (u₁, U₂, U3) is an orthogonal basis for R³. Then express x as a linear combination of the u's.
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Which of the following criteria are necessary for a set of vectors to be an orthogonal basis for a subspace W of R? Select all that apply.
A. The vectors must all have a length of 1.
B. The vectors must form an orthogonal set.
c. The vectors must span W.
D. The distance between any pair of distinct vectors must be constant.
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View an example Get more help.
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