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Gaussian Elimination (view source)
Revision as of 15:29, September 11, 2017
, 15:29, September 11, 2017Added alternative name
'''Gaussian Elimination''' is a simple method for solving a system of simultaneous linear equations by expressing them in [[matrix]] form and then subtracting rows from each other sequentially in order to create all ones on the main diagonal and all zeros below the diagonal, thereby facilitating identification of solutions or range of solutions.
'''Gaussian Elimination''', also called Gauss-Jordan elimination, is a simple method for solving a system of simultaneous linear equations by expressing them in [[matrix]] form and then subtracting rows from each other sequentially in order to create all ones on the main diagonal and all zeros below the diagonal, thereby facilitating identification of solutions or range of solutions.
The three types of elementary row operations used are:
*swap rows
*multiple a row by a constant
*add or subtract rows from each other
==Example==
==Example==
*[http://mathworld.wolfram.com/GaussianElimination.html Gaussian Elimination from Mathworld]
*[http://mathworld.wolfram.com/GaussianElimination.html Gaussian Elimination from Mathworld]
[[Category:linear algebra]]
[[Category:Linear Algebra]]
[[Category:mathematics]]
[[Category:Mathematics]]