Does the 0 vector not count when determining the dimension?

  • Thread starter brushman
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  • #1
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Homework Statement


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.
 

Answers and Replies

  • #2
Dick
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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.
 

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