Determine whether the given set of functions is linearly independent on the interval (-∞, ∞). f3(x) = ex f₁(x) = 0, f₂(x) = x, linearly dependent O linearly independent

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.2: Linear Functions And Applications
Problem 33PS
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Determine whether the given set of functions is linearly independent on the interval (-∞, ∞).
f₁(x) = 0, f₂(x) = x,
f3(x) = ex
O linearly dependent
O linearly independent
Transcribed Image Text:Determine whether the given set of functions is linearly independent on the interval (-∞, ∞). f₁(x) = 0, f₂(x) = x, f3(x) = ex O linearly dependent O linearly independent
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