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Diagonalization in Linear algebra MATHEMATICS COURSE-LINEAR ALGEBRA SUBJECT-MATHEMATICS YEAR-2025 PROFESSOR-MURUGAN.D Linear algebra is a branch of mathematics focused on vector spaces and the linear mappings between them. It involves the study of vectors, matrices, systems of linear equations, determinants, eigenvalues, and eigenvectors. At its core, linear algebra explores how lines, planes, and higher-dimensional spaces behave under linear transformations. It provides the tools for solving equations like Ax = b, where A is a matrix and x and b are vectors. Linear algebra is foundational in many fields, including physics, computer science, engineering, machine learning, and economics, due to its efficiency in modeling and solving real-world problems involving large datasets or multidimensional relationships.
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