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Lecture
Matrix Representations: 3x3 Rank
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Linear Algebra: Matrices Properties
Explores properties of 3x3 matrices with real coefficients and determinant calculation methods.
Diagonalization of Matrices: Theory and Examples
Covers the theory and examples of diagonalizing matrices, focusing on eigenvalues, eigenvectors, and linear independence.
Matrix Representations of Linear Applications
Covers the matrix representations of linear applications and the equivalence between matrices.
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Explores linear applications, matrices, injectivity, unique solutions, and matrix operations.
Matrix Representations: Linear Maps
Explores matrix representations of linear maps and their invariance, using examples and special cases.
Characterization of Invertible Matrices
Explores the properties of invertible matrices, including unique solutions and linear independence.
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Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.
Singular Value Decomposition: Applications and Interpretation
Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.
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Explores matrices, inverses, and their applications in linear algebra, emphasizing composition and transformation properties.
Linear Algebra: Applications and Matrices
Explores linear algebra concepts through examples and theorems, focusing on matrices and their operations.