Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Suppose that <·, :>1 and <, >2 are two inner products on a vector space V. Prove that < ·, > =< · , :>1 +< • , ·>2 is another inner product on V.

Suppose that <·, :>1 and <, >2 are two inner products on a vector space V. Prove that < ·, > =< · , :>1 +< • , ·>2 is another inner product on V.

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.2: Vector Spaces
Problem 43E: Prove that in a given vector space V, the zero vector is unique.
See similar textbooks
icon
Related questions
Question
Suppose that <·, :>1 and <, >2 are two inner products on a vector space V. Prove that < ·, > =< · , :>1 +< • , ·>2 is another inner product on V.
Transcribed Image Text:Suppose that <·, :>1 and <, >2 are two inner products on a vector space V. Prove that < ·, > =< · , :>1 +< • , ·>2 is another inner product on V.
Expert Solution

This question hasn't been answered yet.

Check out a sample Q&A here
Ask an expert
Blurred answer