Math 206 Graded Problems/Proofs #17 Due Monday April 8

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• Prove that if W is a subspace of a finite dimensional vector space V, then W is finite dimensional.
  
  
• True or False? Either prove true or give a counterexample to show not.
  
  If W is a subspace of a finite-dimensional vector space V, and B is a basis for V then some subset of B is a basis for W.
   

• Alexia Sontag, Mathematics
• Wellesley College
• Date Created: January 4, 2001
• Last Modified: April 2, 2002
• Expires: June 30, 2002