Answered: Let V={(x,y)|x,y∈R}, with addition and…

Let V={(x,y)|x,y∈R}, with addition and scalar multiplication defined as u+v=(u1+v1,u2+v2) and αu=(αu1,2), respectively, where u=(u1,u2) and v=(v1,v2). V is closed under addition because

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Let V={(x,y)|x,y∈R}, with addition and scalar multiplication defined as u+v=(u1+v1,u2+v2) and αu=(αu1,2), respectively, where u=(u1,u2) and v=(v1,v2). V is closed under addition because

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