. Show that (x, y) = 4x1y1 – 7x2y2 for vectors x = (x1, x2) and y = (y1 y2) in R2 defines an inner product.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
Problem 12EQ
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A. Show that (x, y) = 4x1y1 – 7x2Y2 for vectors x = (x1, x2) and y = (y1. Y2) in R2
defines an inner product.
Transcribed Image Text:A. Show that (x, y) = 4x1y1 – 7x2Y2 for vectors x = (x1, x2) and y = (y1. Y2) in R2 defines an inner product.
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