MATH 133
McGill
Course Overview
Grade Boosters
Lessons & Practice
I. Welcome
1. Systems of Linear Equations
1.4hr1.2.1. Augmented Matrix1.2.2. Example1.2.3. Example1.2.4. Practice1.2.5. Practice1.2.6. Echelon Forms1.2.7. Example1.2.8. Example1.2.9. Practice1.2.10. Practice1.2.11. Practice1.2.12. Reducing a Matrix1.2.13. Example1.2.14. Example1.2.15. Practice1.2.16. Practice1.2.17. Practice1.2.18. Solving Linear Systems
2. Matrix Algebra
2.4hr3. Determinants and Diagonalization
2.3hr4. Vector Geometry
2.4hr4.1.1. Basics of Vectors4.1.2. Example4.1.3. Example4.1.4. Practice4.1.5. Vector Operations4.1.6. Example4.1.7. Example4.1.8. Example4.1.9. Practice4.1.10. Practice4.1.11. Practice (Tricky)4.1.12. Vector Properties4.1.13. Example4.1.14. Example4.1.15. Practice: Vector Properties4.1.16. Lines in 4.1.17. Example4.1.18. Example4.1.19. Practice4.1.20. Practice4.1.21. Practice
4.2.1. Basics of Dot Product4.2.2. Example4.2.3. Practice4.2.4. Dot Product Properties4.2.5. Example4.2.6. Example4.2.7. Practice4.2.8. Practice4.2.9. Projection and Perpendicular4.2.10. Example4.2.11. Example4.2.12. Practice4.2.13. Practice4.2.14. Practice: Projections4.2.15. Equations of Planes in 4.2.16. Example4.2.17. Example4.2.18. Practice4.2.19. Practice4.2.20. Practice (Tricky)4.2.21. Hyperplanes4.2.22. Example4.2.23. Practice
5. Vector Space
1.9hr6. Linear Transformations
10min7. Change of Basis
32min8. Eigenvalues and Eigenvectors
1.4hr8.1.1. Eigenvalues and Eigenvectors8.1.2. Example: Eigenvalues and Eigenvectors8.1.3. Example: Eigenvalues and Eigenvectors8.1.4. Properties of Eigenvectors and Eigenvalues8.1.5. Example: Eigenvalues and Eigenvectors8.1.6. Practice: Eigenvalues and Eigenvectors8.1.7. Example: Eigenvectors of a Linear Transformation
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