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If A is a skew-symmetric matrix of odd o...

If A is a skew-symmetric matrix of odd order `n ,` then `|A|=0`

A

Zero

B

One

C

Negative

D

Depends on the matrix

Text Solution

Verified by Experts

The correct Answer is:
A
We know that, elements of principal diagonals of a skew-symmetric matrix are all zero.
`A=|{:(0,a,b),(-a,0,-c),(-b,c,0):}|_(3 xx 3)rArr |A||{:(0,a,b),(-a,0,-c),(-b,c,0):}|`
`=abc - abc = 0
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