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Orthogonality and Least Squares Method
Explains matrix operations, orthogonality, and least squares method in solving linear equations.
Linear Equations and Matrices: Solution Methods, Elementary Operations
Explores solution methods and elementary operations for linear equations and matrices, demonstrating techniques to simplify systems and obtain solutions.
Local structure of totally disconnected locally compact groups I
Covers the local structure of totally disconnected locally compact groups, exploring properties and applications.
LU Factorization Criteria
Explores the conditions for LU factorization without permutation and diagonal dominance in matrices.
Consensus Theorem for Communication Networks
Explores the consensus theorem for communication networks and the implications of various consensus properties in networked control systems.
Discrete Dynamical Systems
Explores eigenvalues, determinants, traces, and stochastic matrices in discrete dynamical systems.
Symmetric Group and Group Actions
Covers the Symmetric group, cycle decomposition, transpositions, even and odd permutations, and group actions.
Linear Maps: Basis and Applications
Explores linear maps, basis freedom, composition, coordinates in different bases, associated matrices, and coefficients.
Counting: Combinations and Permutations
Covers the concepts of combinations and permutations in counting scenarios.
Solving Linear Systems: Methods and Solutions
Explores methods for solving linear systems and building solutions step by step.