Category
Linear algebra
Related lectures (927)
LU Decomposition AlgorithmMOOC: Algebra (part 1)
Covers the LU decomposition algorithm, transforming a matrix into L and U.
Matrix Decomposition: Triangular and Spectral
Covers the decomposition of matrices into triangular blocks and spectral decomposition.
Strategies for Determinant Calculation
Covers strategies for calculating determinants and their geometric interpretation in various dimensions.
Isometries in Euclidean Spaces
Explores isometries in Euclidean spaces, including translations, rotations, and linear symmetries, with a focus on matrices.
Linear Transformations: Matrices and Applications
Covers linear transformations using matrices, focusing on linearity, image, and kernel.
Matrix Operations: LU Factorization & Subspace Vector
Covers LU factorization, determinants, subspaces, and matrix products.
Diagonalization of Linear Transformations
Explains the diagonalization of linear transformations using eigenvectors and eigenvalues to form a diagonal matrix.
Jordan decomposition
Explores the unique decomposition of matrices into diagonalizable and nilpotent parts, showcasing their properties and applications.
Diagonalization of Symmetric Matrices
Explores the diagonalization of symmetric matrices through orthogonal decomposition and the spectral theorem.
Linear Combinations: Vectors and Matrices
Explores linear combinations of vectors and matrices in Rn, demonstrating geometric interpretations and matrix operations.