1. If Jis any subinterval of [a, b] and if ø,(x) := 1 for x E J and 4,(x) := 0 elsewhere on [a, b], we say that 4, is an elementary step function on [a, b]. Show that every step function is a linear combination of elementary step functions. %3D
1. If Jis any subinterval of [a, b] and if ø,(x) := 1 for x E J and 4,(x) := 0 elsewhere on [a, b], we say that 4, is an elementary step function on [a, b]. Show that every step function is a linear combination of elementary step functions. %3D
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 4CM: Use a software program or a graphing utility to write v as a linear combination of u1, u2, u3, u4,...
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![1. If Jis any subinterval of [a, b] and if º, (x) :=1 for x E J and 4,(x) := 0 elsewhere on [a, b], we
say that o, is an elementary step function on [a, b]. Show that every step function is a linear
combination of elementary step functions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff6123250-2495-4b23-8e76-446da0bbacf3%2Fbf7a6935-f51a-490c-b57a-452aa3f71439%2Fzipb22_processed.png&w=3840&q=75)
Transcribed Image Text:1. If Jis any subinterval of [a, b] and if º, (x) :=1 for x E J and 4,(x) := 0 elsewhere on [a, b], we
say that o, is an elementary step function on [a, b]. Show that every step function is a linear
combination of elementary step functions.
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