- 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

Database System Concepts
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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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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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