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Mathematical methods use equations to simulate real-life situations. This subject involves using various mathematical modeling tools such as linear programming, decision theory, and queuing theory, among others, to solve problems. Students pursuing this subject must be familiar with areas of mathematics such as;

Linear transformations | Diagonalization | Eigenvalue |

Gradients | Orthogonal Diagonalization | Vectors |

Use in transformations | Gaussian elimination | Derivatives |

Local inverses and critical points | Tangent Hyper planes | Reduced row-echelon form |

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### Requirements of the reduced row-echelon form

- The number 1 is the leading entry (The first non-zero number in the first row)
- The number 1 must be further to the right for every subsequent row
- Each row’s leading entry must be the only non-zero number in its column
- Non-zero rows must be placed at the bottom of the matrix

The Gaussian elimination technique can be used to transform any matrix to reduced row-echelon form. Also, graphing calculators such as the TI-83 have an arref function that can convert a matrix to a reduced row echelon form. However, if you want to perform calculations by hand, then you must possess knowledge of the following elementary row operations

- Interchange a row with another
- Multiply the row with a non-zero constant
- Lastly, replace one of the rows with: one row + a constant X another row

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- Multiply one of the rows with a non-zero constant

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