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- A-8-8-11 V₂ = ‚V3 = 2,4 = 2 Let V₁ = a) (GB show that none of vectors V₁, V₂, and V3 can be written as a linear combination of the other two, i.e., show that the only linear combination which gives the zero vector c₂V₁ C₂V₂ + C3 V3 = 0 is where, C₁ = C₂ C3 = 0. linear AM

- A-8-8-11 V₂ = ‚V3 = 2,4 = 2 Let V₁ = a) (GB show that none of vectors V₁, V₂, and V3 can be written as a linear combination of the other two, i.e., show that the only linear combination which gives the zero vector c₂V₁ C₂V₂ + C3 V3 = 0 is where, C₁ = C₂ C3 = 0. linear AM

Operations Research : Applications and Algorithms
Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter2: Basic Linear Algebra
Section2.4: Linear Independence And Linear Dependence
Problem 9P
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V₂ = ‚V3 = ‚V4 a) { show that none of vectors V₁, V₂, and V3 can be written as a combination of the other two, i.e., show that the only linear combination which gives the zero vector c₁V₁ +₁ C₂V₂ + C3 V3 = 0 is where, C₁ linear AM b) () show that each of vectors V₁, V2, V3, and V4 can be written as a linear combination of the other three, i.e., find the constants C₁, C2 and c3 in the linear A C₂ C3 1979 = 0. combination c₁V₁ + C₂V₂ + C3V3 = V4 edu - A Buch that not all cs are zeros.
Transcribed Image Text:V₂ = ‚V3 = ‚V4 a) { show that none of vectors V₁, V₂, and V3 can be written as a combination of the other two, i.e., show that the only linear combination which gives the zero vector c₁V₁ +₁ C₂V₂ + C3 V3 = 0 is where, C₁ linear AM b) () show that each of vectors V₁, V2, V3, and V4 can be written as a linear combination of the other three, i.e., find the constants C₁, C2 and c3 in the linear A C₂ C3 1979 = 0. combination c₁V₁ + C₂V₂ + C3V3 = V4 edu - A Buch that not all cs are zeros.
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