Let (, ) be an inner product in the vector space V. Given an isomorphismT : U H V, Put [u, v] = (Tu, Tv), for any U, V E U. Check thatl Jis an in-house product. Note: From the internal product (:) define a new "internal product (with the mentioned conditions) the inner product axioms must be verified in this new function (u, v] = (Tu, Tv)
Let (, ) be an inner product in the vector space V. Given an isomorphismT : U H V, Put [u, v] = (Tu, Tv), for any U, V E U. Check thatl Jis an in-house product. Note: From the internal product (:) define a new "internal product (with the mentioned conditions) the inner product axioms must be verified in this new function (u, v] = (Tu, Tv)
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.4: Linear Transformations
Problem 24EQ
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