Prove Theorem 6 for an affinely independent set S = {v 1....... v k } in R
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Prove Theorem 6 for an affinely independent set S = {v1.......vk} in Rn.
Data From Section 8.2 Theorem 6
Transcribed Image Text:
Let S = {V1,..., Vk} be an affinely independent set in R". Then each p in aff S has a unique representation as an affine combination of V₁,..., Vk. That is, for each p there exists a unique set of scalars c₁,..., Ck such that P = CIVI+. +Ck Vk and C₁ + + Ck = 1 (7)
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Related Book For
Linear Algebra And Its Applications
ISBN: 9781292351216
6th Global Edition
Authors: David Lay, Steven Lay, Judi McDonald
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