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In Excrcises 9-18 mark each statcment True or Falsc (T/F). Justify cach answcr. 9. (T/F) If vi.... ,Vp are in R" and if the set {vi-V2, V3 – V2....,Vp-V2} is linearly dependent, then {v1.....Vp} is affinely dependent. (Read this carefully.) | in DA iben

In Excrcises 9-18 mark each statcment True or Falsc (T/F). Justify cach answcr. 9. (T/F) If vi.... ,Vp are in R" and if the set {vi-V2, V3 – V2....,Vp-V2} is linearly dependent, then {v1.....Vp} is affinely dependent. (Read this carefully.) | in DA iben

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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the baryccntric coord nonnegative. 18. (T/F) If T is a triangle i of the triangle, then the l triangle) arc not all posi In Excrcises 9-18 mark each statement True or Falsc (T/F). Justify cach answcr. 9. (T/F) If v....,Vp are in R" and if the set {vi- V2, V3 – V2....,Vp-V2} is linearly dependent, then {v...., Vp} is affinely dependent. (Read this carefully.) 10. (T/F) If {v1....,Vp} is an aflinely dependent set in R", then the set {V1.. linearly independent. Vp) in R"+ of homogcncous forms may be 11. (T/F) If v. forms (v1..... {v.....Vp} is affinely dependent. are in R" and if the set of homogeneous ve} in R"+ is lincarly indepcndent, then 12. (T/F) If V1, V2, V3, and v4 are in R and if the set {v2 - V1.V3- V1. V4 - V1} is linearly independent, then {v....V4} is affincly independent. 13. (T/F) A finite set of points {v...., Vk} is affinely dependent if there exist rcal numbers ci.. C1++ C = I and ci Vi + Ck. not all zero, such that .. ...
Transcribed Image Text:the baryccntric coord nonnegative. 18. (T/F) If T is a triangle i of the triangle, then the l triangle) arc not all posi In Excrcises 9-18 mark each statement True or Falsc (T/F). Justify cach answcr. 9. (T/F) If v....,Vp are in R" and if the set {vi- V2, V3 – V2....,Vp-V2} is linearly dependent, then {v...., Vp} is affinely dependent. (Read this carefully.) 10. (T/F) If {v1....,Vp} is an aflinely dependent set in R", then the set {V1.. linearly independent. Vp) in R"+ of homogcncous forms may be 11. (T/F) If v. forms (v1..... {v.....Vp} is affinely dependent. are in R" and if the set of homogeneous ve} in R"+ is lincarly indepcndent, then 12. (T/F) If V1, V2, V3, and v4 are in R and if the set {v2 - V1.V3- V1. V4 - V1} is linearly independent, then {v....V4} is affincly independent. 13. (T/F) A finite set of points {v...., Vk} is affinely dependent if there exist rcal numbers ci.. C1++ C = I and ci Vi + Ck. not all zero, such that .. ...
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