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May 6th, 2009, 04:59 AM  #1 
Newbie Joined: Apr 2009 Posts: 28 Thanks: 0  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 nonzero integers. (D) all positive integers. I guess it would be (C). Please verify.....Thanks. 
May 6th, 2009, 05:36 PM  #2 
Senior Member Joined: Nov 2007 Posts: 258 Thanks: 0  Re: Values of the determinant Since both and are integers, the only possible values are {1,1}. 

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