Question

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

• A. $7$
• B. $8$
• C. $9$
• D. $10$

Answer 1

Answer: (C)

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)