Finite dimensional space

  • Thread starter Fringhe
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  • #1
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Homework Statement


How could I prove that the subset of a finite dimensional space is also finite dimensional?


Homework Equations


N/A


The Attempt at a Solution


I think it's more intuitive in the sense that since the vector space is finite dimensional the subset is forcibly finite dimensional.
 

Answers and Replies

  • #2
Fredrik
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What is the definition of "finite dimensional"?

Btw, I think you mean "subspace", not "subset".
 
  • #3
lanedance
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do you mean subspace?

any basis for the subpace will be contained in the finite dimensional space. What is the maximum number of linearly independent vectors in any subset of a finite dimensional space?
 

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