Prove Theorem 6 for an affinely independent set S v 1 v k in R n Data From Section 8 2 Theorem 6 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 V, , Vk That is, for each p there exists a unique set of scalars c, , Ck s...

Suppose S b b is an affinely independent set Then 7 has a solution because p is in ...

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 = {v_1.......v_k} in Rⁿ.

Data From Section 8.2 Theorem 6

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Linear Algebra And Its Applications

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Prove Theorem 6 for an affinely independent set S = {v 1....... v k } in R

Question:

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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Linear Algebra And Its Applications

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