Linear algebra

Linear algebra is a branch of mathematics that focuses on vector spaces and linear transformations between them. It involves the study of vectors, matrices, and systems of linear equations. Fundamental concepts include vector addition, scalar multiplication, matrix operations, eigenvalues, and eigenvectors. Linear algebra provides tools for solving problems in various fields, such as engineering, physics, computer science, and economics, as it facilitates the representation and manipulation of data. Applications range from computer graphics to machine learning and optimization. Its principles form the backbone of many advanced mathematical theories and computational methods, making it essential in both theoretical and applied contexts.