Linear algebra is a branch of mathematics that focuses on the study of vectors, vector spaces, and linear transformations. It helps us understand how to solve systems of equations and analyze geometric shapes in higher dimensions. By using matrices, which are rectangular arrays of numbers, we can represent and manipulate these concepts efficiently. One of the key applications of linear algebra is in computer science, particularly in areas like machine learning and computer graphics. For example, algorithms that power image processing rely on linear algebra to transform and analyze images, making it an essential tool in modern technology.