The number of selection methods for maximum linear independent vectors.

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If the rank of a vector group consisting of s n-dimensional vectors is r, how many ways to select the maximum linear independent group are there at most?



Can we construct an example so that any r vectors can be a maximally linear independent group?










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    $begingroup$


    If the rank of a vector group consisting of s n-dimensional vectors is r, how many ways to select the maximum linear independent group are there at most?



    Can we construct an example so that any r vectors can be a maximally linear independent group?










    share|cite|improve this question









    $endgroup$















      0












      0








      0





      $begingroup$


      If the rank of a vector group consisting of s n-dimensional vectors is r, how many ways to select the maximum linear independent group are there at most?



      Can we construct an example so that any r vectors can be a maximally linear independent group?










      share|cite|improve this question









      $endgroup$




      If the rank of a vector group consisting of s n-dimensional vectors is r, how many ways to select the maximum linear independent group are there at most?



      Can we construct an example so that any r vectors can be a maximally linear independent group?







      linear-algebra






      share|cite|improve this question













      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked Jan 1 at 16:36









      ZeroZero

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