 Matrix representation

A matrix representation is a group representation together with a basis, so each group element is represented by an invertible matrix and multiplication is represented by matrix multiplication.

Matrix representation refers to the method of representing a mathematical object, system of equations, or transformation using a matrix. Matrices are rectangular arrays of numbers or symbols arranged in rows and columns, which can succinctly describe complex relationships and operations in various fields such as mathematics, physics, computer science, and engineering. Here are some common contexts in which matrix representation is used: 1. **Linear Equations**: A system of linear equations can be compactly represented in matrix form.