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Determine whether the functions fi(t) = 2t5, f2(t) = 2t²+1, f3(t) = 5t² + t are linearly dependent or linearly independent. If they are linearly dependent, find a linear relation among them. W(f1, f2, f3) = 0 If possible, find c₁, c2, and c3 such that c₁f₁ + C₂f3 + c3f3 = 0 NOTE: Enter an expression in terms of f1, f2, and f3, where not all coefficients are 0. If this is not possible, indicate that using the checkbox. = 0 not possible Therefore, f1, f2, and f3 are linearly dependent.

Determine whether the functions fi(t) = 2t5, f2(t) = 2t²+1, f3(t) = 5t² + t are linearly dependent or linearly independent. If they are linearly dependent, find a linear relation among them. W(f1, f2, f3) = 0 If possible, find c₁, c2, and c3 such that c₁f₁ + C₂f3 + c3f3 = 0 NOTE: Enter an expression in terms of f1, f2, and f3, where not all coefficients are 0. If this is not possible, indicate that using the checkbox. = 0 not possible Therefore, f1, f2, and f3 are linearly dependent.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 33E
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Determine whether the functions fi(t) = 2t 5, f2(t) = 2t² +1, f3(t) = 5t² + t are linearly dependent or linearly independent. If they are linearly dependent, find a linear relation among them. W(f1, f2, f3) - = 0 If possible, find c₁, c2, and c3 such that c₁f₁ + C₂f3 + c3f3 = 0 NOTE: Enter an expression in terms of f1, f2, and f3, where not all coefficients are 0. If this is not possible, indicate that using the checkbox. = 0 not possible Therefore, f1, f2, and f3 are linearly dependent.
Transcribed Image Text:Determine whether the functions fi(t) = 2t 5, f2(t) = 2t² +1, f3(t) = 5t² + t are linearly dependent or linearly independent. If they are linearly dependent, find a linear relation among them. W(f1, f2, f3) - = 0 If possible, find c₁, c2, and c3 such that c₁f₁ + C₂f3 + c3f3 = 0 NOTE: Enter an expression in terms of f1, f2, and f3, where not all coefficients are 0. If this is not possible, indicate that using the checkbox. = 0 not possible Therefore, f1, f2, and f3 are linearly dependent.
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