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 & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 12E
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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)
Transcribed Image Text: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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