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@ -0,0 +1,52 @@
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> A := << 25, 15, -5; 15, 18, 0; -5, 0, 11 >>;
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[25 15 -5]
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[ ]
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A := [15 18 0]
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[ ]
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[-5 0 11]
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> B := << 18, 22, 54, 42; 22, 70, 86, 62; 54, 86, 174, 134; 42, 62, 134, 106>>;
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[18 22 54 42]
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[ ]
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[22 70 86 62]
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B := [ ]
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[54 86 174 134]
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[ ]
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[42 62 134 106]
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> use LinearAlgebra in
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> LUDecomposition( A, method = Cholesky );
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> LUDecomposition( B, method = Cholesky );
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> evalf( % );
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> end use;
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[ 5 0 0]
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[ ]
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[ 3 3 0]
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[ ]
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[-1 1 3]
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[ 1/2 ]
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[3 2 0 0 0 ]
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[ ]
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[ 1/2 1/2 ]
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[11 2 2 97 ]
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[------- ------- 0 0 ]
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[ 3 3 ]
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[ ]
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[ 1/2 1/2 ]
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[ 1/2 30 97 2 6402 ]
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[9 2 -------- --------- 0 ]
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[ 97 97 ]
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[ ]
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[ 1/2 1/2 1/2]
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[ 1/2 16 97 74 6402 8 33 ]
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[7 2 -------- ---------- -------]
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[ 97 3201 33 ]
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[4.242640686 0. 0. 0. ]
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[ ]
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[5.185449728 6.565905202 0. 0. ]
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[ ]
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[12.72792206 3.046038495 1.649742248 0. ]
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[ ]
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[9.899494934 1.624553864 1.849711006 1.392621248]
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