MATH 133
McGill
Course Overview
Grade Boosters
Lessons & Practice
I. Welcome
54 sec1. Systems of Linear Equations
1.4hr1.2.1. Augmented Matrix3 min1.2.2. Example3 min1.2.3. Example1 min1.2.4. Practice2 min1.2.5. Practice2 min1.2.6. Echelon Forms5 min1.2.7. Example2 min1.2.8. Example2 min1.2.9. Practice1.2.10. Practice1.2.11. Practice1.2.12. Reducing a Matrix5 min1.2.13. Example3 min1.2.14. Example7 min1.2.15. Practice2 min1.2.16. Practice3 min1.2.17. Practice1.2.18. Solving Linear Systems5 min
2. Matrix Algebra
2.4hr3. Determinants and Diagonalization
2.3hr3.1.1. Basics of Determinants5 min3.1.2. Example2 min3.1.3. Practice2 min3.1.4. Practice3 min3.1.5. Minors and Cofactors4 min3.1.6. Determinants of Large Matrices4 min3.1.7. Example3 min3.1.8. Practice2 min3.1.9. Practice4 min3.1.10. Shortcut for Determinants2 min3.1.11. Example1 min3.1.12. Practice2 min
3.3.1. Eigenvalues and Eigenvectors6 min3.3.2. Example7 min3.3.3. Practice8 min3.3.4. Practice4 min3.3.5. Properties of Eigenvectors and Eigenvalues3 min3.3.6. Example3 min3.3.7. Example6 min3.3.8. Practice2 min3.3.9. Diagonalization6 min3.3.10. Example7 min3.3.11. Practice2 min3.3.12. Practice6 min
4. Vector Geometry
2.4hr4.1.1. Basics of Vectors5 min4.1.2. Example1 min4.1.3. Example1 min4.1.4. Practice2 min4.1.5. Vector Operations8 min4.1.6. Example2 min4.1.7. Example2 min4.1.8. Example3 min4.1.9. Practice1 min4.1.10. Practice2 min4.1.11. Practice (Tricky)5 min4.1.12. Vector Properties4 min4.1.13. Example3 min4.1.14. Example3 min4.1.15. Practice: Vector Properties2 min4.1.16. Lines in 8 min4.1.17. Example3 min4.1.18. Example3 min4.1.19. Practice2 min4.1.20. Practice4.1.21. Practice
4.2.1. Basics of Dot Product2 min4.2.2. Example2 min4.2.3. Practice1 min4.2.4. Dot Product Properties3 min4.2.5. Example57 sec4.2.6. Example2 min4.2.7. Practice2 min4.2.8. Practice2 min4.2.9. Projection and Perpendicular3 min4.2.10. Example2 min4.2.11. Example3 min4.2.12. Practice4.2.13. Practice3 min4.2.14. Practice: Projections4.2.15. Equations of Planes in 5 min4.2.16. Example2 min4.2.17. Example4 min4.2.18. Practice2 min4.2.19. Practice4.2.20. Practice (Tricky)4 min4.2.21. Hyperplanes3 min4.2.22. Example1 min4.2.23. Practice3 min
5. Vector Space
1.9hr6. Linear Transformations
10min7. Change of Basis
32min8. Eigenvalues and Eigenvectors
1.4hr8.1.1. Eigenvalues and Eigenvectors14 min8.1.2. Example: Eigenvalues and Eigenvectors13 min8.1.3. Example: Eigenvalues and Eigenvectors11 min8.1.4. Properties of Eigenvectors and Eigenvalues7 min8.1.5. Example: Eigenvalues and Eigenvectors3 min8.1.6. Practice: Eigenvalues and Eigenvectors8.1.7. Example: Eigenvectors of a Linear Transformation15 min
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