The Geometry of Linear Equations – Elimination with Matrices-Multiplication and Inverse Matrices – Factorization into A = LU – Transposes, Permutations, Spaces R^n-Column Space and Nullspace -Solving Ax = 0: Pivot Variables, Special Solutions – Solving Ax = b: Row Reduced Form R – Independence, Basis, and Dimension – The Four Fundamental Subspaces – Matrix Spaces; Rank 1; Small World Graphs-Graphs, Networks, Incidence Matrices – Orthogonal Vectors and Subspaces – Projections onto Subspaces – Projection Matrices and Least Squares – Orthogonal Matrices and Gram – Schmidt

Properties of Determinants – Determinant Formulas and Cofactors – Cramers Rule, Inverse Matrix, and Volume – Eigenvalues and Eigenvectors – Diagonalization and Powers of A – Differential Equations and exp(At) – Markov Matrices – Fourier Series – Symmetric Matrices and Positive Definiteness – Complex Matrices – Fast Fourier Transform – Positive Definite Matrices and Minima – Similar Matrices and Jordan Form – Singular Value Decomposition – Linear Transformations and Their Matrices – Change of Basis – Image Compression – Left and Right Inverses – Pseudoinverse – Final Course Review

Other Resources

Course Curriculum

The Geometry of Linear Equations Details 39:49
Elimination with Matrices Details 47:42
Multiplication and Inverse Matrices Details 46:49
Factorization into A = LU Details 50:13
Transposes, Permutations, Spaces R^n Details 47:42
Column Space and Nullspace Details 46:1
Solving Ax = 0: Pivot Variables, Special Solutions Details 43:20
Solving Ax = b: Row Reduced Form R Details 47:20
Independence, Basis, and Dimension. Details 50:14
The Four Fundamental Subspaces Details 49:20
Matrix Spaces; Rank 1; Small World Graphs Details 45:56
Graphs, Networks, Incidence Matrices Details 47:57
Quiz 1 Review Details 47:40
Orthogonal Vectors and Subspaces. Details 49:48
Projections onto Subspaces. Details 48:51
Projection Matrices and Least Squares. Details 48:5
Orthogonal Matrices and Gram-Schmidt. Details 49:25
Properties of Determinants Details 49:12
Determinant Formulas and Cofactors. Details 53:17
Cramers Rule, Inverse Matrix, and Volume Details 51:1
Eigenvalues and Eigenvectors Details 51:23
Diagonalization and Powers of A Details 51:51
Differential Equations and exp(At) Details 51:3
Markov Matrices; Fourier Series Details 51:12
Quiz 2 Review Details 48:20
Symmetric Matrices and Positive Definiteness Details 43:52
Complex Matrices; Fast Fourier Transform Details 47:52
Positive Definite Matrices and Minima. Details 50:40
Similar Matrices and Jordan Form. Details 45:56
Singular Value Decomposition. Details 41:35
Linear Transformations and Their Matrices. Details 49:27
Change of Basis; Image Compression. Details 50:14
Quiz 3 Review Details 47:6
Left and Right Inverses; Pseudoinverse. Details 41:53
Final Course Review Details 43:26

Course Reviews

N.A

ratings
  • 5 stars0
  • 4 stars0
  • 3 stars0
  • 2 stars0
  • 1 stars0

No Reviews found for this course.

About

FreeVideoLectures Provides you complete information about best courses online, Video tutorials, helps you in building a career !!

help@freevideolectures.com

Learn More About us

About Us
Privacy Policy
FAQ

FREEVIDEOLECTURES.COM ALL RIGHTS RESERVED.
top
FreeVideoLectures.com All rights reserved.

Setup Menus in Admin Panel