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A 3xx3 determinant has entries either 1 ...

A `3xx3` determinant has entries either `1` or `-1`.
Let `S_(3)=` set of all determinants which contain determinants such that product of elements of any row or any column is `-1` For example `|{:(1,,-1,,1),(1,,1,,-1),(-1,,1,,1):}|`is an element of the set `S_(3)`.
Number of elements of the set `S_(3)=`

A

`2^(n-1)`

B

`2^((n-1)^2)`

C

`(13n^2-37n+26)/2`

D

none of these

Text Solution

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The correct Answer is:
B
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