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Checking if a Bilinear Operation is an Inner Product Prove whether or not the following operation defines an inner product in R²: (u, v) = x1 y1 x1Y2 − x2Y1 + 3x2Y2 where u = (x1, x2),v= (31,392)

Checking if a Bilinear Operation is an Inner Product Prove whether or not the following operation defines an inner product in R²: (u, v) = x1 y1 x1Y2 − x2Y1 + 3x2Y2 where u = (x1, x2),v= (31,392)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.3: Quadratic Equations
Problem 16E
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Checking if a Bilinear Operation is an Inner Product Prove whether or not the following operation defines an inner product in R²: (u, v) = x1 y1 x1Y2 − x2Y1 + 3x2Y2 where u = (x1, x2),v= (31,392)
Transcribed Image Text:Checking if a Bilinear Operation is an Inner Product Prove whether or not the following operation defines an inner product in R²: (u, v) = x1 y1 x1Y2 − x2Y1 + 3x2Y2 where u = (x1, x2),v= (31,392)
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