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13. Prove that if V and W are vector spaces and T: V → W is a linear transformation then Range(T) is a subspace of W.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.2: Vector Spaces

Problem 43E: Prove that in a given vector space V, the zero vector is unique.

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13. Prove that if V and W are vector spaces and T: V → W is a linear
transformation then Range(T) is a subspace of W.

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