A Brief Overview of the Course

Goals and Objectives of the Course

Skills and Career Opportunities (Results of the Course)

Introduction to Linear Algebra

Linear Algebra Applications

Linear Combination and Linear Equations

Quiz 1 - Linear Combination and Linear Equations

System of Linear Equations

Solution of Linear Systems - Elementary Methods

Quiz 2 - System of Linear Equations

Linear System Examples

Feedback

What are Vectors?

Basic Operations on Vectors

Quiz 3 - Basic Operations on Vectors

Interconversion between Polar and Rectangular Coordinates

Quiz 4 - Rectangular and Polar Coordinates

Norm of a Vector

Dot Product

Applications of Dot Product

Quiz 5 - Dot Product and Norm of a Vector

Linear Combination of Vectors

Span and Linear Independence

Quiz 6 - Linear Combination and Span of Vectors

Feedback

System of Linear Equations and Matrices

Matrices Origin and Evolution

Basic Operations and Properties

Quiz 7 - Basic Operations on Matrices

Linear Transformation - Part 1 - Geometry and Intuition

Linear Transformation - Part 2 - Common Transformations

Linear Transformation - Part 3 - Mathematics of Linear Transformation

Composition of Transformations

Quiz 8 - Matrix Multiplication and Linear Transformation

Determinants

Quiz 9 - Determinants

Solution of Equations - Cramer's Rule

Solution of Equations - Matrix Inverse

Quiz 10 - Matrix Inverse

Reduced Row Echelon Form - RREF

Solution of Equations - RREF

Quiz 11 - Reduced Row Echelon Form

Eigenvalues and Eigenvectors

Eigenvalues and Eigenvectors - 3 x 3 Systems

Quiz 12 - Eigenvalues and Eigenvectors

Feedback

Congratulations!