16) Let V be the vector space of functionsf:R R.Let S be the subspace generated by fe,e, 2x -2x X and let D be the derivative operator on S. Find the determinant of D. a) 2 b) 0 c) -4 d) 1 e) -1

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 54CR: Let V be an two dimensional subspace of R4 spanned by (0,1,0,1) and (0,2,0,0). Write the vector...
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16) Let V be the vector space of functionsf:R
R.Let S be the subspace generated by
fe,e,
2x
-2x
X
and let D be the derivative operator on S. Find the determinant of D.
a) 2
b) 0
c) -4
d) 1
e) -1
Transcribed Image Text:16) Let V be the vector space of functionsf:R R.Let S be the subspace generated by fe,e, 2x -2x X and let D be the derivative operator on S. Find the determinant of D. a) 2 b) 0 c) -4 d) 1 e) -1
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