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Matrix determinant

  1. Nov 9, 2009 #1
    The question is:
    Compute the determinant of the n × n matrix A for which aij = max(i, j).

    I can compute determinants but I don't really know what the last bit means.
    Any help appreciated.
     
  2. jcsd
  3. Nov 9, 2009 #2
    Put some numbers in. For example, a12 = max(1, 2) = 2.
     
  4. Nov 10, 2009 #3

    Redbelly98

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    max(i,j) means either i or j, whichever is greater.
     
  5. Nov 10, 2009 #4
    Huge hint:
    In the main diagonal of your matrix i = j, so max{ i, j } = i or j
    above the main diagonal j > i, so max{ i, j } = j
    below the main diagonal i > j so max { i, j } = i
     
  6. Nov 12, 2009 #5

    Redbelly98

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    Note to all:

    The OP had a simple question about the meaning of

    aij = max(i, j)​

    The question has been answered. This is a homework thread; please do not provide further help on solving the problem unless the OP posts again with more questions.
     
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