By determining constants C1, C2, C3, C4, which are not all zero and are such that C1 f1 + C2 f2 + C3 f3 + C4f4 = 0 identically, show that the functions fi = x, f2 = e®, f3 = xe", ƒa = (2 – 3x) e are linearly dependent.

By determining constants C1, C2, C3, C4, which are not all zero and are such that C1 f1 + C2 f2 + C3 f3 + C4f4 = 0 identically, show that the functions fi = x, f2 = e®, f3 = xe", ƒa = (2 – 3x) e are linearly dependent.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Linear Transformations

Section6.1: Introduction To Linear Transformations

Problem 78E: Let S={v1,v2,v3} be a set of linearly independent vectors in R3. Find a linear transformation T from...

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By determining constants C1, C2, C3, C4, which are not all
zero and are such that C1 f1 + C2 f2 + C3 f3 + C4f4 = 0
identically, show that the functions
fi = x, f2 = e®, f3 = xe", ƒa = (2 – 3x) e
are linearly dependent.

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