Course curriculum

  • 1

    Introduction to Linear Algebra

    • 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

  • 2

    Vectors

    • 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

  • 3

    Matrices

    • 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

  • 4

    Congratulations! You have successfully completed this course!

    • Congratulations!