Applications of Matrices: Solving 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) Cramer’s Rule

(iii) Gaussian Elimination Method

Lets see one by one...