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Linear Algebra, as part of Functional Analysis within Mathematics and Science, studies the properties and behavior of linear mappings between vector spaces. It explores concepts such as vectors, matrices, determinants, eigenvalues, and eigenvectors, providing a foundation for various mathematical disciplines including calculus, differential equations, and physics. The subject focuses on understanding and manipulating these linear mappings using algebraic operations, with applications in areas such as data analysis, optimization, and computer graphics.