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Linear Algebra encompasses the study of vectors and vector spaces, matrices, determinants, linear transformations, eigenvalues, and eigenvectors. It forms the foundation of mathematical modeling in various fields such as physics, engineering, computer science, economics, and statistics. Linear algebra deals with linear equations, systems of linear equations, and their solutions, which are represented using matrices and vectors. This subject is fundamental to understanding more complex mathematical concepts such as calculus, differential equations, optimization, and machine learning. In education, linear algebra is typically taught at the undergraduate level, often as a required course for students in STEM fields, but it can also be studied independently or as part of a broader mathematics curriculum.