lin com Determine whether the vectors V₁ = (1, 6, 0, 0), v₂ = (0, -1, 0, 1), v3 = (0, 0, 1, 1), and v₁ = (1, 0, -1, are linearly independent; if linearly dependent, find a nontrivial linearcombination of the form a₁v₁ + a₂V₂ + ª3V3 + ²4V4 that results in the zero vector. (Give a ₁, ₂, 3, and 4 as real numbers. If the vectors are linearly independent, enter INDEPENDENT.)(²₁, ²₂, ²3₁²)=

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Determine whether the vectors v₁ = (1, 6, 0, 0), v₂ = (0, -1, 0, 1), v3 = (0, 0, 1, 1), and v₁ = (1, 0, -1, 0) are linearly independent; if linearly dependent, find a nontrivial linear combination of the form a₁v₁ + a₂V₂ + a3V3 +44 that results in the zero vector. (Give a, a, a3, and a4 as real numbers. If the vectors are linearly independent, enter INDEPENDENT.) (@₁₁@₂₁ 314) =

Determine whether the vectors v₁ = (1, 6, 0, 0), v₂ = (0, -1, 0, 1), v3 = (0, 0, 1, 1), and v₁ = (1, 0, -1, 0) are linearly independent; if linearly dependent, find a nontrivial linear combination of the form a₁v₁ + a₂V₂ + a3V3 +44 that results in the zero vector. (Give a, a, a3, and a4 as real numbers. If the vectors are linearly independent, enter INDEPENDENT.) (@₁₁@₂₁ 314) =

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 31E

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