One of the important applications of matrices and determinants is solving of system of linear equations.

**Applications of Matrices: Solving System of Linear Equations**

One of the important applications of matrices and determinants is solving of system of linear equations. Systems of linear equations arise as mathematical models of several phenomena occurring in biology, chemistry, commerce, economics, physics and engineering. For instance, analysis of circuit theory, analysis of input-output models, and analysis of chemical reactions require solutions of systems of linear equations.

**1. Formation of a System of Linear Equations**

**2. System of Linear Equations
in Matrix Form**

**3. Solution to a System of
Linear equations**

**(i) Matrix Inversion Method**

**(ii) Cramerâ€™s Rule**

**(iii) Gaussian Elimination Method**

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12th Mathematics : UNIT 1 : Applications of Matrices and Determinants : Applications of Matrices: Solving System of Linear Equations |

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