If A is a skew-symmetric matrix of order n, then the maximum number of no-zero elements in A is

Options

A. `(1)/(2)n(2n+1)`
B. `(1)/(2)n(n+1)`
C. `n(n-1)`
D. None of these

Answer

C

Explanation

Total number of elements
`nxxn=n^(2)`
Number of diagonal elements=n
In a skew-symmetric matrix, all diagonal elements must be 0.
`therefore`Maxiimum number of non-zero elements.
`=n^(2)-n=n(n-1)`