Q₂ Prove thatsuch as( x ₁ y ) + ( x ²₁ y ²) = (x + x ² + 1₂ y + y ² + ₁₂and K(x, y) = (kxky)is not a vector spaceV = set of all pairsof real numbers.(x, y)

Given:V= the set of all pairs of real numbers x,y.The operations are given…

Answered: V = set of all pairs of real numbers.…

V = set of all pairs of real numbers. (x,y) Q3 Prove that such as 2 (x, y) + (x²₁ y ₁ ) = (x + x² + 1₂ y + y² + 1 ) and k(x,y) = (kx, kg) is not a vector space.

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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Question

Q₂ Prove that
such as
( x ₁ y ) + ( x ²₁ y ²) = (x + x ² + 1₂ y + y ² + ₁₂
and K(x, y) = (kxky)
is not a vector space
V = set of all pairs
of real numbers.
(x, y)

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