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A 3 xx 3 determinant has its entries 1 or-1 . The number of such determinant in 2^9 =512. We will call a 3 xx 3 determinant with entries 1 or -1 as minus special if product of elements of any rows or any columns is -1 for example |{:(1,-1,1),(1,1,-1),(-1,1,1):}| is a minus special determinant. The number of nxxn minus special determinates must be |
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Answer» `2^(n-1)` |
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