The term “matrix,” a rectangular array of numbers, symbols, or expressions arranged in rows and columns, is fundamental in various fields. For example, a simple 2×2 matrix could represent a transformation in two-dimensional space. Understanding its structure allows for operations like addition, subtraction, multiplication, and inversion, each with specific rules and applications.
Its significance stems from its ability to model complex systems and solve diverse problems. Historically, matrices emerged from the study of systems of linear equations and determinants, becoming essential tools in physics, engineering, computer graphics, and economics. They provide a concise and powerful way to represent data and perform calculations, enabling analyses that would be otherwise unwieldy.