Show that if B is a basis for a subspace H, then each vector in H can be written in only one way as a linear combination of the vectors in B.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.5: Basis And Dimension
Problem 66E
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Show that if B is a basis for a subspace H, then each vector in H can be written in
only one way as a linear combination of the vectors in B.
Transcribed Image Text:Show that if B is a basis for a subspace H, then each vector in H can be written in only one way as a linear combination of the vectors in B.
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