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"Systems of Linear Equations" as a book category covers texts that introduce, develop, and apply methods for solving collections of linear relationships between variables. It includes elementary treatments for students—covering substitution, elimination, matrices, determinants, and Gaussian elimination—alongside advanced theoretical and computational volumes on matrix factorization (LU, QR), rank, eigenvalues, numerical methods, and stability. Books in this category range from problem-focused workbooks and classroom textbooks to application-driven guides for engineering, physics, economics, and data science that show how linear systems model networks, circuits, optimization problems, and discretized differential equations. Readers can expect a mix of theory, algorithmic techniques, worked examples, and software-oriented approaches (e.g., MATLAB, Python/NumPy) aimed at audiences from high-school/undergraduate learners to researchers and practitioners.

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