Linear Algebra I
Online Course/Slides
Instructor:
Dr. Aaron Naiman
<naiman@math.jct.ac.il>
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About the course
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13-week lesson plan
Course — detailed outline
Linear Equations in Linear Algebra
(1.1) Systems of Linear Equations
(1.2) Row Reduction and Echelon Forms
(1.3) Vector Equations
(1.4) The Matrix Equation
Ax = b
(1.5) Solution Sets of Linear Systems
(1.6) Applications of Linear Systems
(1.7) Linear Independence
(1.8) Introduction to Linear Transformations
(1.9) The Matrix of a Linear Transformation
(1.9B) The Matrix of a Linear Transformation (cont.)
(1.10) Linear Models in Business, Science, and Engineering
Matrix Algebra
(2.1) Matrix Operations
(2.2) The Inverse of a Matrix
(2.3) Characterizations of Invertible Matrices
(2.5) Matrix Factorizations
(2.6) The Leontief Input=Output Model
Determinants
(3.1) Introduction to Determinants
(3.2) Properties of Determinants
(3.3) Cramer's Rule, Volume, and Linear Transformations
Vector Spaces
(4.1) Vector Spaces and Subspaces
(4.2) Null Spaces, Column Spaces, and Linear Transformations
(4.3) Linearly Independent Sets; Bases
(4.4) Coordinate Systems