Exercise 5.3.1 Which of the following sets are subspaces of R³? Explain. ----B-- u (a) V₁ = (b) V₂ = -{- -[] | U2 (c) V3 = (d) V4= = (e) V5 {-- U1 u= U2 uz u UI U2 Uz *-{--3]|-----} u= ≤ 4 ui 20 for each i = 1,2,3 2,3}. uz +U₁ = 2u₂ Uz zu1 0

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
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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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Exercise 5.3.1 Which of the following sets are subspaces of R3? Explain.
--------)
= U2
(a) V₁ =
(b) V/₂=
(c) V3 =
(d) V4=
UI
u = U2
uz
(e) V5 =
4
ui 20 for each i = 1,2,3
Ui
1.21
{-----}
uz +4₁ = 24₂
u=
{--[B]|-24}
U2
---------
Uz
0
Transcribed Image Text:Exercise 5.3.1 Which of the following sets are subspaces of R3? Explain. --------) = U2 (a) V₁ = (b) V/₂= (c) V3 = (d) V4= UI u = U2 uz (e) V5 = 4 ui 20 for each i = 1,2,3 Ui 1.21 {-----} uz +4₁ = 24₂ u= {--[B]|-24} U2 --------- Uz 0
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