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Determine whether the vectors v₁ = (1, 2), v₂ = (-1,0) and v3 = (0, 1) are linearly independent; if linearly dependent, find a nontrivial linear combination of the form a₁v₁ +²₂₂ +²3V3 that results in the zero vector. (Give a₁, a2, and a3 as real numbers. If the vectors are linearly independent, enter INDEPENDENT.) (a₁ª₂ª3) =

Determine whether the vectors v₁ = (1, 2), v₂ = (-1,0) and v3 = (0, 1) are linearly independent; if linearly dependent, find a nontrivial linear combination of the form a₁v₁ +²₂₂ +²3V3 that results in the zero vector. (Give a₁, a2, and a3 as real numbers. If the vectors are linearly independent, enter INDEPENDENT.) (a₁ª₂ª3) =

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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Determine whether the vectors v₁ = (1, 2), v₂ = (−1, 0) and v3 = (0, 1) are linearly independent; if linearly dependent, find a nontrivial linear combination of the form a₁v₁ +²2₂ +²33 that results in the zero vector. (Give a₁, ₂, and a3 as real numbers. If the vectors are linearly independent, enter INDEPENDENT.) (0₂2 0₂1 0₂) = ( L
Transcribed Image Text:Determine whether the vectors v₁ = (1, 2), v₂ = (−1, 0) and v3 = (0, 1) are linearly independent; if linearly dependent, find a nontrivial linear combination of the form a₁v₁ +²2₂ +²33 that results in the zero vector. (Give a₁, ₂, and a3 as real numbers. If the vectors are linearly independent, enter INDEPENDENT.) (0₂2 0₂1 0₂) = ( L
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