Matrices are nothing but the rectangular arrangement of numbers, expressions, symbols which are arranged in columns and rows.
Matrices are used to represent real-world data such as the habits, or traits of a population of people.
In computer based applications, matrices play a vital role in the projection of three dimensional image into a two dimensional screen, creating the realistic seeming motions.
In geology, matrices are used for taking seismic surveys.
They are used for plotting graphs, statistics and also to do scientific studies in almost different fields.
Matrices are used in calculating the gross domestic products in economics which eventually helps in calculating the goods production efficiently.
Matrices are used in many organizations such as for scientists for recording the data for their experiments.
In robotics and automation, matrices are the base elements for the robot movements.The movements of the robots are programmed with the calculation of matrices’ rows and columns.The inputs for controlling robots are given based on the calculations from matrices.
If you want to see a 3D projection of an object created using matrix operation you can find here
All these applications are possible by performing some operations (multiplication / division / addition etc) on Matrices !