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Determine the linear dependence of fi(t) = t + 2, f2(t) 2t2 + 3t, and %3D II f3(t) = -t2 +3.

Determine the linear dependence of fi(t) = t + 2, f2(t) 2t2 + 3t, and %3D II f3(t) = -t2 +3.

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 the linear dependence of fi(t) =t+ 2, f2(t) = 2t2 + 3t, and %3D f3(t) = -t² + 3. %3D
Transcribed Image Text:Determine the linear dependence of fi(t) =t+ 2, f2(t) = 2t2 + 3t, and %3D f3(t) = -t² + 3. %3D
Expert Solution
Step 1

Given functions are

f1t=t+2f2t=2t2+3tf3t=-t2+3

To determine whether f1,f2,f3 are linearly independent or not.

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