Hollow matrix

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In mathematics, a hollow matrix is an n×n matrix whose diagonal elements are all equal to zero. The most obvious example is the real skew-symmetric matrix.

If A is an n×n hollow matrix, then the elements of A are given by


\begin{array}{rlll} A_{n\times n} & = & (a_{ij}); \\ a_{ij} & = & 0 & \mbox{if} \quad i=j,\quad 1\le i,j \le n.\, \end{array}


[edit] Properties

  • The trace of A is trivially zero.


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