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Theorem 1. Let U end V be vector spaces over the fleld F and let T be a linear transformation from U into V. if T is one-one and onto, then the inverse function T-l is a linear transformasion from V. into U.

Theorem 1. Let U end V be vector spaces over the fleld F and let T be a linear transformation from U into V. if T is one-one and onto, then the inverse function T-l is a linear transformasion from V. into U.

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 16CM
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Theorem 1. Let U and V be vector spaces over the fleld F and let T be a linear transformation from U into V. If T is one-one and onto, then the inverse function T-l is a linear transformation from V. into U.
Transcribed Image Text:Theorem 1. Let U and V be vector spaces over the fleld F and let T be a linear transformation from U into V. If T is one-one and onto, then the inverse function T-l is a linear transformation from V. into U.
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