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

Explanation

As A is skew symmetric matrix of odd order

Let `A=|[​0,−1,−2​],[1,0,−3],[​2,3,0]|`

​so,`A=−A'`(As A is skew symmetric)


=`|A|=|A'|`

=`|A|=-|A'|`

=`|A|=-|A|`

=`2|A|=0`

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