are not vector spaces? 23) Which of the following subsets of C[-1,1] 1 (x)dx 0 f(x) E CI-1,1]: a) -1 {f(x)e C-1,1]: f(-1) = f(l)} {f (x) E C[-1,1]: f(x) 0 for xe[-1/2,1 / 2]} {f(x) e Cl-1,1]: f (1) = 1} e) {f(x)e CI-1,1]: f(l) = 0} b) c) d)

are not vector spaces? 23) Which of the following subsets of C[-1,1] 1 (x)dx 0 f(x) E CI-1,1]: a) -1 {f(x)e C-1,1]: f(-1) = f(l)} {f (x) E C[-1,1]: f(x) 0 for xe[-1/2,1 / 2]} {f(x) e Cl-1,1]: f (1) = 1} e) {f(x)e CI-1,1]: f(l) = 0} b) c) d)

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.4: Spanning Sets And Linear Independence

Problem 76E: Let f1(x)=3x and f2(x)=|x|. Graph both functions on the interval 2x2. Show that these functions are...

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Question

are not vector spaces?
23) Which of the following subsets of C[-1,1]
1
(x)dx 0
f(x) E CI-1,1]:
a)
-1
{f(x)e C-1,1]: f(-1) = f(l)}
{f (x) E C[-1,1]: f(x) 0 for xe[-1/2,1 / 2]}
{f(x) e Cl-1,1]: f (1) = 1}
e) {f(x)e CI-1,1]: f(l) = 0}
b)
c)
d)

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