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Let A be the set of all 3xx3 skew-symmet...

Let `A` be the set of all `3xx3` skew-symmetri matrices whose entries are either `-1,0,or1.` If there are exactly three 0s three 1s, and there `(-1)' s` , then the number of such matrices is __________.

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The correct Answer is:
8
In a skew symmetric matrix, diagonal elements are zero.
Also, `a_("ij")+a_("ji")=0`
Hence, number of matrices `=2xx2xx2=8`
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