2. Determine if the function (u, v) = µ₁ V₂ + U2V1, where ủ = (u₁, U₂) and ở = (V₁, V₂) defines an inner product on R2². Check each axiom to determine if it holds or fails. Show all work.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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2. Determine if the function (u, v) = U₁V₂ + U₂V1, where u
=
each axiom to determine if it holds or fails. Show all work.
(u₁, ₂) and 7
= (V₁, V₂) defines an inner product on R². Check
Transcribed Image Text:2. Determine if the function (u, v) = U₁V₂ + U₂V1, where u = each axiom to determine if it holds or fails. Show all work. (u₁, ₂) and 7 = (V₁, V₂) defines an inner product on R². Check
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