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Let V be n-dimensional vector space over c en for any n scalars ₁, ... , E F there-

Let V be n-dimensional vector space over c en for any n scalars ₁, ... , E F there-

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
Problem 43EQ
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***** Theorem 7. Let V be n-dimensional vector space over a field F and B = {b₁,b₂, bn} be a basis for V, then for any n scalars ₁, ... , EF there exists a unique linear functional fe V* such that f(b) = N₂, i = 1, 2,..., n.
Transcribed Image Text:***** Theorem 7. Let V be n-dimensional vector space over a field F and B = {b₁,b₂, bn} be a basis for V, then for any n scalars ₁, ... , EF there exists a unique linear functional fe V* such that f(b) = N₂, i = 1, 2,..., n.
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