# Course curriculum

• 1

### Introduction to Linear Algebra

• 10101 - Intro to Linear Algebra - Eng

• 10102 - Linear Algebra Applications - Eng

• 10103 - Linear Combination and Linear Equations - Eng

• Quiz 1 - Linear Combination and Linear Equations

• 10104 - System of Linear Equations - Eng

• 10105 - Sol of Lin Sys - Elm Method - Eng

• 10106 - Linear System Examples - Eng

• Quiz 2 - System of Linear Equations

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• 2

### Vectors

• 10201 - What are Vectors - Eng

• 10202 - Basic Operations on Vectors - Eng

• Quiz 3 - Basic Operations on Vectors

• 10203 - Interconversion between Polar and Rectangular Coordinates - Eng

• Quiz 4 - Rectangular and Polar Coordinates

• 10204 - Norm of a Vector - Eng

• 10205 - Dot Product - Eng

• Quiz 5 - Dot Product and Norm of a Vector

• 10206 - Applications of Dot Product - Eng

• 10207 - Linear Combination of Vectors - Urdu

• 10208 - Span and Linear Independence - Eng

• Quiz 6 - Linear Combination and Span of Vectors

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• 3

### Matrices

• 10301 - System of Linear Equations and Matrices - Eng

• 10302 - Matrices Origin and Evolution - Eng

• 10303 - Basic Operations and Properies - Eng

• Quiz 7 - Basic Operations on Matrices

• 10305 - Linear Transformation - Part 1 - Geometry and Intuition - Eng

• 10306 - Linear Transformation - Part 2 - Common Transformations - Eng

• 10307 - Linear Transformation - Part 3 - Math of Lin Trans - Eng

• 10308 - Composition of Transformations - Eng

• Quiz 8 - Matrix Multiplication and Linear Transformation

• 10309 - Determinants - Eng

• 10310 - Solution of Eqns - Cramer's Rule - Eng

• Quiz 9 - Determinants

• 10311 - Solution of Eqns - Matrix Inverse - Eng

• Quiz 10 - Matrix Inverse

• 10312 - Reduced Row Echelon Form - Eng

• 10313 - Solution of Eqns - RREF - Eng

• Quiz 11 - Reduced Row Echelon Form

• 10316 - Eigenvalues and Eigenvectors - Eng

• 10317 - Eigenvalues and Eigenvectors - 3 x 3 Systems - Eng

• Quiz 12 - Eigenvalues and Eigenvectors

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• 4

### Congratulations! You have successfully completed this course!

• Congratulations!