Answered: Problem 4. Consider the set S= {f1,…

Problem 4. Consider the set S= {f1, f2}, where fi (t) = t – 1 for t € [0, 2] S1-t -t te (0,1] f2(t) = \t-1 te[1,2], (c) Show that S is linearly dependent on (C[1, 2], IR)

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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Question

Problem 4. Consider the set S= {f1, f2}, where
fi (t) = t – 1 for t € [0, 2]
S1-t
-t te (0,1]
f2(t) =
\t-1 te[1,2],
(c)
Show that S is linearly dependent on (C[1, 2], R).

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