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Difference between vector basis and bases?

  1. Mar 23, 2009 #1
    1. The problem statement, all variables and given/known data

    Could someone please explain the difference? Maybe show some examples?
    Than you!

    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Mar 23, 2009 #2
    I am not sure I understand you correctly, "bases" is the plural of "basis".
     
  4. Mar 23, 2009 #3

    Mark44

    Staff: Mentor

    A given vector space can have many bases. For example, R2 has the standard basis {(1, 0), (0, 1)}, but the following set is also a basis for R2--{(1, 1), (1, -1)}. In fact, any two vectors in R2 that aren't scalar multiples of each other would serve as a basis for R2.
     
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