Consider the span of the set (V₁,..., Vn,u). Suppose u is in the span of {₁,...,Vn}. Then, show that any vector in span {V₁, ...,Vn, u} is in span{V₁,...,Vn}.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.1: Early Definitions And Postulates
Problem 36E: Consider noncoplanar points A, B, C, and D. Using three points at a time such as A, B, and C, how...
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Consider the span of the set (₁, ...,Vn, u). Suppose ū is in the span of {V₁,...,Vn}. Then, show that any
vector 7 in span{V₁, ..., Vn, ū} is in span{V₁, ...,Vn}.
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Transcribed Image Text:Consider the span of the set (₁, ...,Vn, u). Suppose ū is in the span of {V₁,...,Vn}. Then, show that any vector 7 in span{V₁, ..., Vn, ū} is in span{V₁, ...,Vn}. и
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