Lecture
Matrices: Elementary Linear Algebra
Related lectures (26)
Characteristic Polynomials and Similar Matrices
Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.
Matrix Similarity and Diagonalization
Explores matrix similarity, diagonalization, characteristic polynomials, eigenvalues, and eigenvectors in linear algebra.
Characterization of Invertible Matrices
Explores the properties of invertible matrices, including unique solutions and linear independence.
Linear Algebra: Linear Transformations and Matrices
Explores linear transformations, matrices, kernels, and images in algebra.
Singular Value Decomposition: Applications and Interpretation
Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.
Matrix Operations: Definitions and Properties
Covers the definitions and properties of matrices, including matrix operations and determinants.
Eigenvalues and Eigenvectors: Understanding Matrix Properties
Explores eigenvalues and eigenvectors, demonstrating their importance in linear algebra and their application in solving systems of equations.
Linear Transformations: Matrices and Applications
Covers linear transformations using matrices, focusing on linearity, image, and kernel.
Matrix Representations of Linear Applications
Covers matrix representations of linear applications in R³ and the invariance of rank.
Linear Algebra: Applications and Matrices
Explores linear algebra concepts through examples and theorems, focusing on matrices and their operations.