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Matrix3f A(3,3);
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A << 1,2,3, 4,5,6, 7,8,10;
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PartialPivLU<Matrix3f> luOfA(A); // compute LU decomposition of A
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Vector3f b;
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b << 3,3,4;
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Vector3f x;
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x = luOfA.solve(b);
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cout << "The solution with right-hand side (3,3,4) is:" << endl;
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cout << x << endl;
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b << 1,1,1;
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x = luOfA.solve(b);
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cout << "The solution with right-hand side (1,1,1) is:" << endl;
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cout << x << endl;
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