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  4. A skew-symmetric matrix of order n has the maximum number of distinct elements equal to 73 , then the order of the matrix is

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Q. A skew-symmetric matrix of order $n$ has the maximum number of distinct elements equal to $73$ , then the order of the matrix is

NTA AbhyasNTA Abhyas 2022

Solution:

If the order of skew-symmetric matrix is $n$ , then the maximum number of distinct elements is $n^{2}-n+1$
$n^{2}-n+1=73$
$n^{2}-n-72=0$
$n=9,-8$ (rejected)