12. Show that the set of all continuous function on the interval [-1,1] is a vector space under standard operations.

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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12. Show that the set of all continuous function on the interval [–1,1] is a vector space under standard operations.
Transcribed Image Text:12. Show that the set of all continuous function on the interval [–1,1] is a vector space under standard operations.
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