Matrix Algebra

Matrix algebra involves working with rectangular arrays of numbers called matrices, which can represent data, systems of equations, or transformations. Operations like addition, subtraction, and multiplication follow specific rules that allow us to combine matrices, while concepts like the inverse or transpose help analyze or manipulate data and geometric transformations. Think of matrices as tools to organize information efficiently, solve complex problems, or describe how systems change—whether in engineering, computer graphics, or economics—making them a fundamental part of modern applied mathematics.