Matrix representation is a mathematical way to organize data in rows and columns, forming a rectangular array called a matrix. Each element in the matrix can represent various types of information, such as numbers, variables, or even functions. This structure is widely used in fields like computer science, engineering, and statistics for tasks such as solving systems of equations or transforming data. In linear algebra, matrices can represent linear transformations, making it easier to perform calculations involving vectors and spaces. Operations like addition, multiplication, and finding determinants can be efficiently executed using matrix representation, enabling complex computations to be simplified and visualized.