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Determine whether the given set of functions is linearly dependent or linearly independent on the interval (-00, 00). f₁(x) = cos(2x), f2₂(x) = 1, f3(x) = cos²(x) linearly dependent O linearly independent

Determine whether the given set of functions is linearly dependent or linearly independent on the interval (-00, 00). f₁(x) = cos(2x), f2₂(x) = 1, f3(x) = cos²(x) linearly dependent O linearly independent

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 given set of functions is linearly dependent or linearly independent on the interval (-∞, ∞o). f₁(x) = cos(2x), f2₂(x) = 1, f3(x) = cos²(x) linearly dependent O linearly independent
Transcribed Image Text:Determine whether the given set of functions is linearly dependent or linearly independent on the interval (-∞, ∞o). f₁(x) = cos(2x), f2₂(x) = 1, f3(x) = cos²(x) linearly dependent O linearly independent
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