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Qustion :2. Let V be a finite – dimensional vector space over the field F. For each other a in V define La(f) = f(a) The mapping a → La is then an isomorphism of V onto V". f in V*.

Qustion :2. Let V be a finite – dimensional vector space over the field F. For each other a in V define La(f) = f(a) The mapping a → La is then an isomorphism of V onto V". f in 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 44E: Prove that in a given vector space V, the additive inverse of a vector is unique.
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Qustion :2. Let V be a finite – dimensional vector space over the field F. For each other a in V def ine La(f) = f(a) The mapping a → La is then an isomorphism of V onto V*. f in V*.
Transcribed Image Text:Qustion :2. Let V be a finite – dimensional vector space over the field F. For each other a in V def ine La(f) = f(a) The mapping a → La is then an isomorphism of V onto V*. f in V*.
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