Textbooks

Linear Algebra

Course customized by: Linear Algebra

Course taught by: Amos Bahiri

49 hours

Course syllabus

1. Systems of Linear Equations
Workbook
4hours 28minutes
Systems of Linear Equations preview
SLE with parameter preview
SLE over Zp preview
2. Matrices
Workbook
5hours 11minutes
Matrix Inverse and its Applications preview
Properties of the Matrix Inverse preview
Matrix and Basic Operations on Matrices preview
Elementary Matrices and LU Decomposition preview
3. Determinants
Workbook
5hours 3minutes
Determinants preview
Rules of Determinants preview
More Rules of Determinants preview
Cramer's Rule preview
The Adjoint Matrix preview
Geometrical Applications of Determinants preview
4. Vector spaces
Workbook
9hours 12minutes
The vector space R^n preview
Liner Combinations and Span in R^n preview
Linear Dependence in R^n preview
Basis For R^n preview
Basis For A Solution Space, Homogeneous SLE A In R^n preview
Basis of a Subspace of R^n preview
Basis for Row and Column Spaces preview
Coordinate Vectors and change of basis in R^n preview
Vector spaces preview
Liner Combinations and Span preview
Linear Dependence preview
Basis for Known Vector Spaces preview
Basis for a Solution Space, Homogeneous SLE preview
Basis of a Subspace of a Known Vector Space preview
Coordinate Vectors and change of basis preview
5. Linear Transformations
Workbook
4hours 53minutes
Linear Transformation Definition preview
Image and Kernel preview
Isomorphism and Inverse preview
Composition of Linear Transformation preview
6. Matrix of Linear Transformations
Workbook
1hours 32minutes
1 Reminder - Coordinate Vectors and change of basis preview
Matrix of Linear Transformation preview
7. Eigenvectors Eigenvalues and Diagonalization
Workbook
4hours 54minutes
Eigenvectors and Eigenvalues of a Matrix preview
Matrix Similarity preview
Matrix Diagonalization preview
Cayley-Hamilton theorem and the Minimal Polynomial preview
Linear Transformation's Eigenvalues and Diagonalization preview
8. Inner Product Spaces
Workbook
6hours 6minutes
Inner Product Spaces preview
Norm and Distance preview
Cauchy–Schwarz Inequality preview
Orthogonality preview
Orthogonal Complement preview
Orthogonal Sets and Bases preview
9. Vectors
Workbook
6hours 44minutes
Introduction to 2D and 3D Vectors preview
Vector Arithmetic preview
Vectors Dot Product preview
Vectors Cross Product preview
The 3D Coordinates System preview
Equations of Lines preview
Equations of Planes preview
Quadric Surfaces preview
10. Markov Chains
Workbook
42minutes
Markov Chains preview
Mr. Amos Bahiri
About

Amos Bahiri earned his undergraduate degree in Mathematics, and then went on to earn two Master’s Degrees (MS) in Mathematics and Computer & Information Science from Ohio State University. In addition to being an outstanding instructor of mathematics, Amos is known for his math jokes.