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Determinant of a Finite Field 2x2 Matrix
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[QUOTE="rehcarlos, post: 4511669, member: 195777"] [h2]Homework Statement [/h2] Find the determinant of: |1 1| |2 1| The field is Z3. [h2]Homework Equations[/h2] The field is Z3, that is, to multiply two numbers, you first multiply then take the remainder of the division by 3. [h2]The Attempt at a Solution[/h2] I tried: ( 1 x 1 ) - ( 1 x 2 ) 1 x 1 will be: 1x1 = 1 => then get the remainder of the division by 3 that is 1 1 x 2 will be: 1 x 2 = 2 => then get the remainder of the division by 3 that is 2 So, the determinant would be 1 - 2 = -1 => then get the remainder of the division by 3 that is -1 But the answer is 2 [/QUOTE]
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Determinant of a Finite Field 2x2 Matrix
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