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Math Help - Matrices

  1. #1
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    Matrices

    This matrix is said to be quickly solvable but im not sure of the trick:

    -1 1 1 1 1
    1 -1 1 1 1
    1 1 -1 1 1
    1 1 1 -1 1
    1 1 1 1 -1

    the matrix is all 1's with -1's on the main diagonal, im not sure if i should row reduce until i have an upper triangular matrix and use product of diagonal entries or if there is a simple trick im missing
    Additional Details

    the answer is 48 according to my ti-89
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  2. #2
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    Quote Originally Posted by Derill03 View Post
    This matrix is said to be quickly solvable but im not sure of the trick:

    -1 1 1 1 1
    1 -1 1 1 1
    1 1 -1 1 1
    1 1 1 -1 1
    1 1 1 1 -1

    the matrix is all 1's with -1's on the main diagonal, im not sure if i should row reduce until i have an upper triangular matrix and use product of diagonal entries or if there is a simple trick im missing
    Additional Details

    the answer is 48 according to my ti-89
    This doesn't make any sense.

    What are you trying to solve?
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