線性代數
-
課程簡介
- 資源下載
- Basic Concepts on Matrices and Vectors (1)
- Basic Concepts on Matrices and Vectors (2)
- Basic Concepts on Matrices and Vectors (3)
- Basic Concepts on Matrices and Vectors (4)
- Basic Concepts on Matrices and Vectors (5)
- System of Linear Equations (1)
- System of Linear Equations (2)
- Gaussian Elimination (1)
- Gaussian Elimination (2)
- The language of set theory
- Span of a Set of Vectors (1)
- Span of a Set of Vectors (2)
- Linear Dependence and Linear Independence (1)
- Linear Dependence and Linear Independence (2)
- Matrix Multiplication
- Invertibility and Elementary Matrices
- Column Correspondence Theorem
- The Inverse of a Matrix (1)
- The Inverse of a Matrix (2)
- Linear Transformations and Matrices (1)
- Linear Transformations and Matrices (2)
- Composition and Invertibility of Linear Transformations (1)
- Composition and Invertibility of Linear Transformations (2)
- Determinants (1)
- Determinants (2)
- Subspaces and their properties
- Basis and Dimension (1)
- Basis and Dimension (2)
- The Dimension of Subspaces associated with a Matrix
- Coordinate Systems
- Matrix Representations of Linear Operators
- Eigenvalues, Eigenvectors, and Diagonalization
- The Characteristic Polynomial (1)
- The Characteristic Polynomial (2)
- Diagonalization of Matrices (1)
- Diagonalization of Matrices (2)
- The Geometry of Vectors Dot Product (1)
- The Geometry of Vectors Dot Product (2)
- Orthogonal Vectors (1)
- Orthogonal Vectors (2)
- Orthogonal Projections (1)
- Orthogonal Projections (2)
- Least Squares Approximations and Orthogonal Projection Matrices
- Orthogonal Matrices and Operators
- Symmetric Matrices (1)
- Symmetric Matrices (2)
- Symmetric Matrices (3)
- Symmetric Matrices (4)
- Vector Spaces and Their Subspaces (1)
- Vector Spaces and Their Subspaces (2)
- Vector Spaces and Their Subspaces (3)
- Vector Spaces and Their Subspaces (4)
- Linear Transformation (1)
- Linear Transformation (2)
- Linear Transformation (3)
- Basis and Dimension (1)
- Basis and Dimension (2)
- Basis and Dimension (3)
- Matrix Representations of Linear Operators (1)
- Matrix Representations of Linear Operators (2)
- The Matrix Representations of the Inverse of an Invertible Linear Operator (1)
- The Matrix Representations of the Inverse of an Invertible Linear Operator (2)
- Eigenvalues and Eigenvectors of a Matrix Representations of a Linear Operator
- Inner Product Spaces (1)
- Inner Product Spaces (2)
- Inner Product Spaces (3)
- Inner Product Spaces (4)
- Inner Product Spaces (5)