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Determine whether the functions fi(t) = 4t – 7, f2(t) = 4t² + 1, f3(t) = 7t2 + t are linearly dependent or linearly independent. If they are linearly dependent, find a linear relation among them. W (fi, f2, f3) = %3D If possible, find c1, c2, and c3 such that cifi+ c2f3+ c3f3 = 0 NOTE: Enter an expression in terms of f1, fe, and fg, where not all coefficients are 0. If this is not possible, indicate that using the che not possible Therefore, fi, f2, and f3 are linearly dependent.▼

Determine whether the functions fi(t) = 4t – 7, f2(t) = 4t² + 1, f3(t) = 7t2 + t are linearly dependent or linearly independent. If they are linearly dependent, find a linear relation among them. W (fi, f2, f3) = %3D If possible, find c1, c2, and c3 such that cifi+ c2f3+ c3f3 = 0 NOTE: Enter an expression in terms of f1, fe, and fg, where not all coefficients are 0. If this is not possible, indicate that using the che not possible Therefore, fi, f2, and f3 are linearly dependent.▼

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 functions fi(t) = 4t – 7, f2(t) = 4t² + 1, f3(t) = 7t + t are linearly dependent or linearly independent. If they are linearly dependent, find a linear relation among them. W(fi, f2, f3) = If possible, find c1, c2, and c3 such that cfi + c2f3 + C3f3 = 0 NOTE: Enter an expression in terms of fi, f2, and fs, where not all coefficients are 0. If this is not possible, indicate that using the checkbox. = 0 O not possible Therefore, f1, f2, and f3 are linearly dependent.
Transcribed Image Text:Determine whether the functions fi(t) = 4t – 7, f2(t) = 4t² + 1, f3(t) = 7t + t are linearly dependent or linearly independent. If they are linearly dependent, find a linear relation among them. W(fi, f2, f3) = If possible, find c1, c2, and c3 such that cfi + c2f3 + C3f3 = 0 NOTE: Enter an expression in terms of fi, f2, and fs, where not all coefficients are 0. If this is not possible, indicate that using the checkbox. = 0 O not possible Therefore, f1, f2, and f3 are linearly dependent.
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