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Vector Space

  • Thread starter robierob12
  • Start date
  • #1
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Homework Statement



Check to see if the (vector space) set of rational numbers is closed under addition and scalar multiplication

Homework Equations



The book says this holds for addition but fails for scalar multiplication.

The Attempt at a Solution



Im a little confused. You can add two of the same rational number like (1/2) and (1/2) and get an integer. Now your out of the vector space. Where is my logic failing me?
 

Answers and Replies

  • #2
EnumaElish
Science Advisor
Homework Helper
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Integers are rationals: 2 = 2/1 = 4/2 = ...
 
  • #3
48
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it's always the obvious. how funny
 

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