1. Oct 25, 2011 #1

   brushman

   

   1. The problem statement, all variables and given/known data
   If we have ker(T)={0}, why is the dim(ker(T)) = 0?
   
   Does the 0 vector not count when determining the dimension? I thought the answer would be 1.

    

   brushman, Oct 25, 2011
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3. Oct 25, 2011 #2

   Dick

   

   Science Advisor

   Homework Helper

   Nope, doesn't count. The zero vector is in any vector space. Even a one-dimensional space has the zero vector in it. The zero vector isn't what makes it one-dimensional.

    

   Dick, Oct 25, 2011

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