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alnix
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can someone explain me in detail or simply how Gauss-Jordan way of solving equations works? thanks.
The Gauss-Jordan method is a mathematical technique used to solve systems of linear equations. It involves transforming the coefficients and constants of the equations into an augmented matrix and then using row operations to reduce the matrix to a form where the solutions can be easily obtained.
The steps involved in using the Gauss-Jordan method are as follows:
Both the Gauss-Jordan method and Gaussian elimination method are used to solve systems of linear equations, but they differ in the final step of obtaining the solutions. In Gaussian elimination, the reduced matrix is interpreted to find the solutions, while in Gauss-Jordan method, the reduced matrix is further simplified to obtain the solutions directly.
The Gauss-Jordan method is most useful when there are a large number of equations and variables involved. It is also helpful when solving systems of equations with fractions or decimals, as it eliminates the need for fraction/decimal manipulation.
The Gauss-Jordan method is limited to solving systems of linear equations. It cannot be used for non-linear equations or equations with complex numbers. Additionally, it may not always be the most efficient method for solving equations, as it involves multiple steps and calculations.