当前课程知识点:Linear Algebra > Chapter 3 Linear Dependence of Vector Set > 3.4.2 Method for Finding the Rank of Matrix and Vector Set > Video
-1.1.1 The 2nd and 3rd Order Determinants
--Video1
--Video2
--PPT1
--PPT2
--Example
--Homework
-1.1.2 The nth Order Determinants
--Video
--PPT
--Example
--Homework
-1.2.1 Cofactor Expansion Theorem and Transpose of Determinants
--Video
--PPT
--Example
--Homework
-1.2.2 Properties of Determinants
--Video1
--Video2
--PPT1
--PPT2
--Example
--Homework
-1.3.1 Evaluations of Determinants 1
--video
--PPT
--Example
--Homework
-1.3.2 Evaluations of Determinants 2
--video
--PPT
--Example
--Homework
-1.4.1 Cramer's Rule
--Video
--PPT
--Example
--Homework
-1.4.2 Applications of Cramer's Rule
--video
--PPT
--Example
--Homework
-Homework
-2.1.1 Matrix Operations
--Video 1
--Video 2
--PPT 1
--PPT 2
--Example
--Homework
-2.1.2 Matrix Multiplication
--Video 1
--Video 2
--PPT 1
--PPT 2
--Example
--Homework
-2.2.1 The Transpose of a Matrix and Determinant of a Matrix
--Video
--PPT
--Example
--Homework
-2.2.2 The Inverse of Matrix and Its Properties
--Video
--PPT
--Example
--Homework
-2.3.1 The Calculation of Inverse Matrix
--Video
--PPT
--Example
--Homework
-2.3.2 Partitioned Matrices and Their Operations
--Video 1
--Video 2
--PPT 1
--PPT 2
--Example
--Homework
-2.4.1 Elementary Operations and Elementary Matrices
--Video 1
--Video 2
--Video 3
--Video 4
--PPT 1
--PPT 2
--PPT 3
--PPT 4
--Example
--Homework
-2.4.2 Application of Elementary Operations and Elementary Matrices
--Video
--PPT
--Example
--Homework
-Homework
-3.1.1 Vectors and its Operations
--Video
--PPT
--Example
--Homework
-3.1.2 Linear Combination
--Video
--PPT
--Example
--Homework
-3.2.1 Linear Dependence
--Video 1
--Video 2
--PPT 1
--PPT 2
--Example
--Homework
-3.2.2 Determination of Linear Dependence
--Video
--PPT
--Example
--Homework
-3.3.1 Maximum Independent Subset
--Video
--PPT
--Example
--Homework
-3.3.2 Rank of Vector Set
--Video
--PPT
--Example
--Homework
-3.4.1 Rank of Matrix
--Video
--PPT
--Example
--Homework
-3.4.2 Method for Finding the Rank of Matrix and Vector Set
--Video
--PPT
--Example
--Homework
-Homework
-Test
-4.1.1 Decision of Solutions to Linear System
--Video 1
--PPT
-4.1.2 Elimination Method for Solving Linear System
--Video
--PPT
--Example
--Homework
-4.1.3 Decision theorem of solution
--Video
--PPT
--Example
--Homework
-4.2.1 Structure of Solutions to Homogeneous System
--Video
--PPT
--Example
--Homework
-4.2.2 Structure of Solutions to Nonhomogeneous System
--Video
--PPT
--Example
--Homework
-4.3.1 Linear Space
--Video
--PPT
-4.3.2 Subspaces
--Video
--PPT
--Example
--Homework
-4.4.1 Basis and Dimension
--Video
--PPT
-4.4.2 Coordinate Vector and Isomorphic Vector Spaces
--Video
--PPT
-4.4.3 Change of Basis and Change of Coordinate
--Video
--PPT
--Example
--Homework
-4.5 Linear Transformation
--Video 1
--PPT 1
--Vedio 2
--PPT 2
--Example
--Homework
-4.6 Euclidean Space
--PPT 1
--PPT 2
--Video1
--Video 2
--Example
--Homework
-Homework
-5.1.1 Eigenvalues and Eigenvectors
--Video1
--Video2
--PPT 1
--PPT 2
--Example
--Homework
-5.1.2 Properties of Eigenvalues and Eigenvectors
--PPT 1
--PPT 2
--Example
--Video1
--Video2
--Homework
-5.2.1 Similar Matrices
--PPT 1
--PPT 2
--Example
--Video1
--Video2
--Homework
-5.2.2 Diagonalization and its Conditions
--Video1
--Video2
--Video3
--Video4
--PPT 1
--PPT 2
--PPT 3
--PPT 4
--Example
--Homework
-5.3 Real Symmtric Matrices and its Orthogonal Similar Diagonalization
--PPT 1
--PPT 2
--PPT 3
--PPT 4
--Example
--Video1
--Video2
--Video3
--Video4
--Homework
-Homework
-6.1.1 Quadratic Forms and Their Standard Forms
--Video 1
--Video 2
--Video 3
--PPT 1
--PPT 2
--PPT 3
--Example
--Homework
-6.1.2 Using Orthogonal Transformations to Deduce the Quadratic Forms to the Standard Forms
--Video 1
--Video 2
--PPT 1
--PPT 2
--Example
--Homework
-6.2.1 Using the Method of Completing Squares to Reduce the Quadratic Forms to the Standard Forms
--Video
--PPT
--Example
--Homework
-6.2.2 Positive Definite Quadratic Forms
--Video 1
--Video 2
--Video 3
--PPT 1
--PPT 2
--PPT 3
--Example
--Homework
-Homework
-Test