(b) Show that the set of all positive real numbers, with x+y and cx redefined to equal the usual xy and x, is a vector space, or indicate why it is not. What is the "zero vector"?
(b) Show that the set of all positive real numbers, with x+y and cx redefined to equal the usual xy and x, is a vector space, or indicate why it is not. What is the "zero vector"?
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.2: Vector Spaces
Problem 37E: Let V be the set of all positive real numbers. Determine whether V is a vector space with the...
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![(b) Show that the set of all positive real numbers, with x+y and cx redefined to equal the usual xy
and x, is a vector space, or indicate why it is not. What is the "zero vector"?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1b5ca759-da4a-4759-9a39-f30a7bb2e4bf%2F9ce508d0-7ec0-4ad9-9458-ec1718403b87%2F5v85at_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(b) Show that the set of all positive real numbers, with x+y and cx redefined to equal the usual xy
and x, is a vector space, or indicate why it is not. What is the "zero vector"?
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