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Matrix Calculus
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Related lectures (29)
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Vector Spaces: Operations and Linear Transformations
Explores vector space operations, linear transformations, matrix representation, and linear applications.
Singular Value Decomposition: Applications and Interpretation
Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.
Row-echelon and reduced row-echelon matrices
Explains row-echelon and reduced row-echelon matrices and their role in simplifying system resolution.
Matrix Operations: Linear Systems and Solutions
Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.
Linear Algebra: Basis and Matrices
Covers the concept of basis, linear transformations, matrices, inverses, determinants, and bijective transformations.
Linear Algebra: Matrices and Operations
Introduces key concepts in linear algebra, including matrices, operations, and numerical invariants.
Linear Transformations: Matrices and Applications
Explores linear transformations, matrices, injective, surjective, and bijective properties, matrix operations, and special matrix types.
Invertibility Criterion
Explores the criterion of invertibility based on the determinant of a matrix.
Linear Algebra: Applications and Matrices
Explores linear algebra concepts through examples and theorems, focusing on matrices and their operations.