1. | ![]() |
Introduction, Vectors and matrices | Administrative annoucements - Vectors and basic operations - Matrices and basic operations - Special matrices | ![]() |
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Introduction, Vectors and matrices | Administrative annoucements - Vectors and basic operations - Matrices and basic operations - Special matrices | ![]() |
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Linear equations | - Matrix-vector representation of linear equations - Elimination methods | ![]() |
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Linear equations | - Matrix-vector representation of linear equations - Elimination methods | ![]() |
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Factorization | Elimination and factorization - Symetric matrices and factorization | ![]() |
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Factorization | Elimination and factorization - Symetric matrices and factorization | ![]() |
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Vector spaces and subspaces | Spaces of vectors - Column spaces of a matrix - Null space of a matrix | ![]() |
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Vector spaces and subspaces | Spaces of vectors - Column spaces of a matrix - Null space of a matrix | ![]() |
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Rank of a matrix | Rank of a matrix - Row reduced form - Solution to Ax=b | ![]() |
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Rank of a matrix | Rank of a matrix - Row reduced form - Solution to Ax=b | ![]() |
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Independence, basis and dimension | Linear independence of vectors - Basis for a space - Dimension of a space - Dimensions of the four fundamental subspaces | ![]() |
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Independence, basis and dimension | Linear independence of vectors - Basis for a space - Dimension of a space - Dimensions of the four fundamental subspaces | ![]() |
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Independence, basis and dimension | Linear independence of vectors - Basis for a space - Dimension of a space - Dimensions of the four fundamental subspaces | ![]() |
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Orthogonality | Orthogonality of the four subspaces | ![]() |
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Orthogonality | Orthogonality of the four subspaces | ![]() |
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Orthogonality | Orthogonality of the four subspaces | ![]() |
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Orthogonality | Orthogonality of the four subspaces | ![]() |
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8. | ![]() |
Applications | Least squares approximations - Orthogonal bases and Gram-Schmidt process | ![]() |
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Applications | Least squares approximations - Orthogonal bases and Gram-Schmidt process | ![]() |
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Determinants | Properties of determinants - Permutations and cofactors | ![]() |
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Cramer's rule | Solution to Ax=b - Formula for inverse matrix | ![]() |
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Cramer's rule | Solution to Ax=b - Formula for inverse matrix | ![]() |
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Eigenvalues | Definition of eigenvalues and eigenvectors - Properties of eigenvalues and eigenvectors | ![]() |
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Eigenvalues | Definition of eigenvalues and eigenvectors - Properties of eigenvalues and eigenvectors | ![]() |
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Eigenvalues | Definition of eigenvalues and eigenvectors - Properties of eigenvalues and eigenvectors | ![]() |
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Diagonalization | Diagonalizing a matrix - Convergence of a matrix series and eigenvalues - Nondiagonalizable matrices | ![]() |
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Diagonalization | Diagonalizing a matrix - Convergence of a matrix series and eigenvalues - Nondiagonalizable matrices | ![]() |
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Symmetric matrices | Eigenvalues and eigenvectors of symmetric matrices - Positive definite matrices | ![]() |
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Similar matrices | Definition of similar matrices - Jordan form - Singular value decomposition (SVD) | ![]() |
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Similar matrices | Definition of similar matrices - Jordan form - Singular value decomposition (SVD) | ![]() |
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Similar matrices | Definition of similar matrices - Jordan form - Singular value decomposition (SVD) | ![]() |