Row Reduction Method

==2024-12-11

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I don’t know what is this.

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Theory

Row Reduction Method of solving System of Linear Equations is an advanced and iterative method of solving the equations.

It is based on the row equivalence property of matrices.

It uses Augmented Matrix to determine the solution.

You change the matrix till it is in one of these forms: Echelon Forms

1. Row Echelon Form(REF)
2. Reduced REF

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Examples

$$\left[\begin{array}{ccc}1& 2& 3\\ 0& 1& 4\\ 0& 0& 1\end{array}\right]$$

Row Echelon Form

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$$\left[\begin{array}{ccc}1& 0& 0\\ 0& 1& 0\\ 0& 0& 0\end{array}\right]$$

Row Echelon Form

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PTR