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Math Help - Determinant 3

  1. #1
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    Determinant 3

    In a 2n-dimensional matrix a_{ij}=\begin{cases}1\text{ if }i\le n\text{ and }j\ge n+1\text{ or }i\ge n+1\text{ and }j\le n\\0\text{ otherwise}\end{cases}
    What's the determinant?
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  2. #2
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    Quote Originally Posted by james_bond View Post

    In a 2n-dimensional matrix a_{ij}=\begin{cases}1\text{ if }i\le n\text{ and }j\ge n+1\text{ or }i\ge n+1\text{ and }j\le n\\0\text{ otherwise}\end{cases}
    What's the determinant?
    the determinant is -1 for n = 1 and 0 for n > 1 because for n > 1 the first and the second row of the matrix are equal.
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