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Q89 Assume V is the set of all ordered pairs of real numbers (u1s Uz) with u,> 0. 'Consider the additicn and sca lar multiplication operations on and 'v= (V,) Vz) 4=(4,) U2) shown below. u tV= Cu,+V, +5, 74z Vz); Ku= Cku, , Ku,) Use the aboue operætions to fin d the tollwing a) If the set V satis fies Axiom 4 of a vec tor space (the existance of a zero vector), what would be the 2ero vector? b) If u <(6,1), what wou ld be twe negative of the referred ta in Axiom 5 of a to impliment here. vector u vector space? You will need ansuer trom eart a

Q89 Assume V is the set of all ordered pairs of real numbers (u1s Uz) with u,> 0. 'Consider the additicn and sca lar multiplication operations on and 'v= (V,) Vz) 4=(4,) U2) shown below. u tV= Cu,+V, +5, 74z Vz); Ku= Cku, , Ku,) Use the aboue operætions to fin d the tollwing a) If the set V satis fies Axiom 4 of a vec tor space (the existance of a zero vector), what would be the 2ero vector? b) If u <(6,1), what wou ld be twe negative of the referred ta in Axiom 5 of a to impliment here. vector u vector space? You will need ansuer trom eart a

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.2: Length And Angle: The Dot Product
Problem 70EQ
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Q89 Assume V is of real numbers (u1g Uz) with u,> 0. the set of all ordered pairs 'Consider the additicn and scalar multiplication operations on and 'v= (V,, Vz)'shown below. 4 =(4,, U2) u tV= (u,+V, +5, 7uz Vz); Ku= Cku,, Ku,) fottowing Use the aboue opercetions to fin d the If the set V satis fies Axiom 4 of a vec tor space (the existance of a zero vector), what would be the zero vector? b) D) If u<(6,1), what vectar u wou ld be tuwe negative of the vector referred ta in Axionm 5 of a space? You will need answer from to impliment here. part a your
Transcribed Image Text:Q89 Assume V is of real numbers (u1g Uz) with u,> 0. the set of all ordered pairs 'Consider the additicn and scalar multiplication operations on and 'v= (V,, Vz)'shown below. 4 =(4,, U2) u tV= (u,+V, +5, 7uz Vz); Ku= Cku,, Ku,) fottowing Use the aboue opercetions to fin d the If the set V satis fies Axiom 4 of a vec tor space (the existance of a zero vector), what would be the zero vector? b) D) If u<(6,1), what vectar u wou ld be tuwe negative of the vector referred ta in Axionm 5 of a space? You will need answer from to impliment here. part a your
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