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Find a basis for a module

  1. May 14, 2007 #1
    1. The problem statement, all variables and given/known data
    Given a few vectors that span a module space, how do you find a set that is a basis for this spanned space consisting of entirely different vectors to the original spanning vectors?

    3. The attempt at a solution

    I assume you find what kind of space is spanned by the vectors first. Then determine a bases for that space. But how do you determine the space spanned by the vectors? i.e determine the space concretely?
     
  2. jcsd
  3. May 15, 2007 #2

    matt grime

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    What on earth does 'concrete' mean? You've been doing this for years in linear algebra - row reduce the vectors until you get something you like. Bear in mind to only do operations invertible in the ring you're dealing with. A concrete example would have really helped, by the way.
     
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