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Help with algebra Invertible matrixes

  1. May 15, 2010 #1
    hi

    1. The problem statement, all variables and given/known data

    I have to prove or disprove the following statements:

    1. Let B be a square matrix nxn. Then there must be an Invertible A such that AB is an upper triangular matrix.
    2. Let A be a square Invertible matrix nxn such that the sum of all the entries in each row is equal to one. Then the sum of all the entries in each row of inverse A is also equal to one.


    3. The attempt at a solution

    Sorry. don't quite know how to approach it. Any hint will be appreciated.
     
  2. jcsd
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