Let T : V → W be a linear map. Show that T preserves linear combinations, i.e. T(a1V1 + ... + anVn) = a1T(v1) + .... + anT(Vn).
Let T : V → W be a linear map. Show that T preserves linear combinations, i.e. T(a1V1 + ... + anVn) = a1T(v1) + .... + anT(Vn).
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 4CM: Use a software program or a graphing utility to write v as a linear combination of u1, u2, u3, u4,...
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Let T : V → W be a linear map. Show that T preserves linear combinations,
i.e. T(a1V1 + ... + anVn) = a1T(v1) + .... + anT(Vn).
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