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Basis for Vector Space

  • Thread starter bphysics
  • Start date
  • #1
35
0

Homework Statement



My notes has the following statement, but I seem to have forgotten to write down the conclusion of the statement before my professor erased it from the board.

"Any vector space V there will be a basis except for 1 type of space: "

Any ideas as to what that 1 type of space is?

Thanks
 

Answers and Replies

  • #2
97
0
perhaps "infinite dimensional"? They don't have a basis unless you assume the axiom of choice.
 
  • #3
33,483
5,173
Probably the space consisting of just the 0 vector.
 

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