Answered: 5. Show that the function that sends an…

5. Show that the function that sends an ordered pair ((x1, x2, x3), (Y1, Y2, Y3)) of elements in R³ to x1 y1 + x33 does not define an inner product on R³.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter5: Rings, Integral Domains, And Fields

Section5.2: Integral Domains And Fields

Problem 16E: Prove that if a subring R of an integral domain D contains the unity element of D, then R is an...

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5. Show that the function that sends an ordered pair ((x1, x2, x3), (Y1, Y2, Y3)) of elements
in R³ to x1 y1 + x33 does not define an inner product on R³.

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