If a vector space has one basis that contains infinitely many elements,prove that every basis contains infinitely many elements.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 24CM
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If a vector space has one basis that contains infinitely many elements,
prove that every basis contains infinitely many elements.

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