

Linear Combination Linear Algebra MATHEMATICS
Linear Algebra is the study of vectors, matrices, and linear equations. It helps understand and solve problems involving geometric spaces and transformations, and is widely used in science, engineering, and computer applications.
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Description
Linear Algebra is a fundamental branch of mathematics that explores vector spaces and the linear mappings between them. This course covers the essential concepts of matrices, vectors, systems of linear equations, determinants, eigenvalues and eigenvectors, and linear transformations.
Students will learn how to perform matrix operations, analyze the properties of vector spaces and subspaces, and solve systems of equations using techniques such as Gaussian elimination and matrix inversion. The course also emphasizes the geometric interpretations of linear algebraic concepts, helping students visualize transformations in two and three dimensions.
Linear Algebra serves as a foundational tool in various disciplines, including physics, engineering, computer science, economics, and data science. It is especially crucial in areas such as machine learning, computer graphics, optimization, and quantum mechanics.
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