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Lecture
Matrix Representations of Linear Applications
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Related lectures (28)
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Matrix Representations of Linear Applications
Covers the matrix representations of linear applications and the equivalence between matrices.
Orthogonal Families and Projections
Explains orthogonal families, bases, and projections in vector spaces.
Characterization of Invertible Matrices
Explores the properties of invertible matrices, including unique solutions and linear independence.
Linear Algebra: Matrices Properties
Explores properties of 3x3 matrices with real coefficients and determinant calculation methods.
Factorisation QR: Gram-Schmidt Process
Covers the Factorisation QR theorem and the Gram-Schmidt method for orthonormal bases.
Linear Algebra: Compositions of Applications
Explores compositions of applications and injectivity conditions in linear algebra, including restriction of applications and combinatorial proof of injections.
Integration of Rational Functions
Covers the integration of rational functions and the decomposition into irreducible factors.
Singular Value Decomposition
Covers the Singular Value Decomposition (SVD) of a matrix and its applications.
Matrix Operations: Definitions and Properties
Covers the definitions and properties of matrices, including matrix operations and determinants.
Matrix Determinants: Properties and Calculations
Covers the properties and calculations of matrix determinants, including special cases and examples.
