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May 6th, 2009, 04:59 AM   #1
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Values of the determinant

Let P be a square matrix of order greater than 1 and with positive integer entries. Suppose that P^(?1) exists and has integer entries. Then the set of all possible values of the determinant of P is

(A) {1}.
(B) {?1, 1}.
(C) all non-zero integers.
(D) all positive integers.


I guess it would be (C). Please verify.....Thanks.
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May 6th, 2009, 05:36 PM   #2
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Re: Values of the determinant



Since both and are integers, the only possible values are {1,-1}.
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