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Which of the following statements are true for the set S={v,,. .., Vk} in R"? I: {v2 - V1, ..., Vk - V1} is linearly dependent if and only if S is affinely dependent. II: If S is affinely independent and a point p in R" has all positive barycentric coordinates determined by S, then p is not in aff S. A. Neither I or II О В. 1 C. Both I and II O D. II

Which of the following statements are true for the set S={v,,. .., Vk} in R"? I: {v2 - V1, ..., Vk - V1} is linearly dependent if and only if S is affinely dependent. II: If S is affinely independent and a point p in R" has all positive barycentric coordinates determined by S, then p is not in aff S. A. Neither I or II О В. 1 C. Both I and II O D. II

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Which of the following statements are true for the set S= {v,,.. . , Vk} in R"? I: {v2 - V1: Vk - V1} is linearly dependent if and only if S is affinely dependent. II: If S is affinely independent and a point p in R" has all positive barycentric coordinates determined by S, then p is not in aff S. A. Neither I or II В. 1 C. Both I and II D. II
Transcribed Image Text:Which of the following statements are true for the set S= {v,,.. . , Vk} in R"? I: {v2 - V1: Vk - V1} is linearly dependent if and only if S is affinely dependent. II: If S is affinely independent and a point p in R" has all positive barycentric coordinates determined by S, then p is not in aff S. A. Neither I or II В. 1 C. Both I and II D. II
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