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Generalized permutation matrix
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Related lectures (31)
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Invertible Matrices: Properties and Gauss Algorithm
Explores properties of invertible matrices and demonstrates the Gauss algorithm for matrix inversion.
Linear Algebra Basics: Matrix Representations and Transformations
Explores linear algebra basics, emphasizing matrix representations of transformations and the importance of choosing appropriate bases.
Matrix Operations and Vector Spaces
Covers elementary matrix operations and vector spaces, including properties and conditions for invertibility.
Elementary Matrices and Inverses
Explores elementary matrices, inverses, uniqueness of solutions, and linear transformations in linear algebra.
Matrix Representations: 3x3 Examples
Covers 3x3 matrix representations and the concept of rank in linear algebra.
Eigenvalues and Matrix Equations: A Comprehensive Analysis
Examines conditions for the existence of invertible matrices satisfying specific matrix equations involving eigenvalues.
Matrix Representations of Linear Applications
Explores matrix representations of linear applications, including change of basis and invariants.
Symmetric Group and Cycle Decomposition
Explores the Symmetric group, cycle decomposition, Orbit-Stabilizer theorem, and properties of cycles and transpositions.
Matrix Inversion
Explores matrix inversion, conditions for invertibility, uniqueness of the inverse, and elementary matrices for inversion.
Matrix Inverses: Properties and Calculations
Explores matrix inverses, their properties, calculations, and determinants of invertibility.
Matrix Multiplication and Inverses
Covers matrix product, inverses, and properties of invertible matrices.
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