3. Let A CR, BC Rm. If the Cartesian product A x B C Rn+m is compact, show that A and B are compact.
3. Let A CR, BC Rm. If the Cartesian product A x B C Rn+m is compact, show that A and B are compact.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.5: Systems Of Linear Equations In More Than Two Variables
Problem 42E
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![3. Let AC R", BC Rm. If the Cartesian product A x B C Rn+m is compact, show that
A and B are compact.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffe72e13b-12e8-4646-917c-376e7356872c%2F920ecf63-1038-4187-a944-ab00863f0d05%2Fdawuo8z_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. Let AC R", BC Rm. If the Cartesian product A x B C Rn+m is compact, show that
A and B are compact.
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