the determinant of matrix sample problem

May 29th, 2015
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we get the determinant of matrix A is: Det A= a11 a22 a33 a44 + a11 a23 a34 a42 + a11 a24 a32 a43 + a12 a21 a34 a43 + a12 a23 a31 a44 + a12 a24 a33 a41 + a13 a21 a32 a44 + a13 a22 a34 a41 + a13 a24 a31 a42 + a14 a21 a33 a42 +

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Nama : Janna Sri BinaNIM : 408111067Calculate The Determinant of following matrix: Solution:First, we will try to find the permutation of matrix. And we will get like the table:Multiplication of elementary resultpermutationAmount of inverseClassificationResult of permutationa11 a22 a33 a44(1, 2, 3, 4)0Evena11 a22 a33 a44a11 a23 a32 a44(1, 3, 2, 4)1Odd-a11 a23 a32 a44a11 a24 a32 a43(1, 4, 2, 3)2Evena11 a24 a32 a43a11 a22 a34 a43(1, 2, 4, 3)1Odd-a11 a22 a34 a43a11 a23 a34 a42(1, 3, 4, 2)2Evena11 a23 a34 a42a11 a24 a33 a42(1, 4, 3, 2)3Odd- a11 a24

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