Let V, W be a pair of vector spaces and A : V → W be a linear image. Then A(V ) is a linear subspace of W. Prove step by step with explanation that (A(V ) = Im(A)), the image of A, is a linear subspace of W

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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Let V, W be a pair of vector spaces and A : V → W be a linear image. Then A(V ) is a linear subspace of W.
Prove step by step with explanation that (A(V ) = Im(A)), the image of A, is a linear subspace of W

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