4. For each vector space V and subset W specified below, determine whether W is a subspace of V or not. (d) V = {functions f: R → R}, W = {functions f: R → R such that f(x) exists }, i.e. the set of differentiable functions.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.1: Vector Spaces And Subspaces
Problem 42EQ
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4. For each vector space V and subset W specified below, determine whether W is a subspace of V or not.
(d) V
{functions f: R → R},
d
W = {functions f: R → R such that f(x) exists }, i.e. the set of differentiable functions.
-
Transcribed Image Text:4. For each vector space V and subset W specified below, determine whether W is a subspace of V or not. (d) V {functions f: R → R}, d W = {functions f: R → R such that f(x) exists }, i.e. the set of differentiable functions. -
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