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Linear Algebra, as part of Quantum Chemistry within Science and Mathematics, deals with vector spaces and linear mappings between such spaces. It studies the properties and structures of these objects using matrices and systems of linear equations. In this context, it serves as a fundamental tool for understanding quantum mechanical systems, where vectors represent wavefunctions and operators correspond to physical quantities like energy or momentum. The methods and concepts from Linear Algebra permeate throughout Quantum Chemistry, including topics such as molecular symmetry, electronic structure calculations, and vibrational analysis.