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Gazprom and the European Union(1) To perform Gaussian elimination starting with the system of equations (2) compose the "augmented matrix equation" (3) Here, the column vector in the variables (4) Solve the equation of the (5) In Mathematica, RowReduce performs a version of Gaussian elimination, with the equation![]() LU decomposition of a matrix is frequently used as part of a Gaussian elimination process for solving a matrix equation. A matrix that has undergone Gaussian elimination is said to be in echelon form. For example, consider the matrix equation (6) In augmented form, this becomes (7) Switching the first and third rows (without switching the elements in the right-hand column vector) gives (8) Subtracting 9 times the first row from the third row gives (9) Subtracting 4 times the first row from the second row gives (10) Finally, adding (11) Restoring the transformed matrix equation gives (12) which can be solved immediately to give Gazprom and the European Union Date: 2015-01-02; view: 1461
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