MTH 141
TMU
Course Overview
Lessons & Practice
I. Welcome
1. Matrices
37min2. Determinants
58min2.1.1. Basics of Determinants2.1.2. Example2.1.3. Practice2.1.4. Practice2.1.5. Determinant & EROs2.1.6. Example2.1.7. Practice2.1.8. Minors and Cofactors2.1.9. Determinants of Large Matrices2.1.10. Example2.1.11. Practice2.1.12. Practice2.1.13. Shortcut for Determinants2.1.14. Example2.1.15. Practice
3. Systems of Equations
1.4hr3.2.1. Augmented Matrix3.2.2. Example3.2.3. Example3.2.4. Practice3.2.5. Practice3.2.6. Echelon Forms3.2.7. Example3.2.8. Example3.2.9. Practice3.2.10. Practice3.2.11. Practice3.2.12. Reducing a Matrix3.2.13. Example3.2.14. Example3.2.15. Practice3.2.16. Practice3.2.17. Practice3.2.18. Solving Linear Systems3.2.19. Homogeneous Systems3.2.20. Example3.2.21. Example3.2.22. Practice3.2.23. Practice
4. Linear Transformations
2hr5.
5hr5.7.1. Basics of Dot Product5.7.2. Example5.7.3. Practice5.7.4. Dot Product Properties5.7.5. Example5.7.6. Example5.7.7. Practice5.7.8. Practice5.7.9. Angle Between Vectors5.7.10. Example5.7.11. Example5.7.12. Practice: Dot Product & Angle5.7.13. Practice5.7.14. Practice5.7.15. Projection and Perpendicular5.7.16. Example5.7.17. Example5.7.18. Practice5.7.19. Practice5.7.20. Practice: Projections
6. Eigenvalues and Eigenvectors
1.8hr7. Vector Spaces and Subspaces
4hr- 7.I. Chapter Overview
7.1.1. Vector Space Axioms7.1.2. Example: Checking the Axioms7.1.3. Practice: Checking the Axioms7.1.4. Practice: Checking the Axioms7.1.5. Example: Finding the Zero Vector7.1.6. Practice: Finding the Zero Vector7.1.7. Practice: Finding the Zero Vector7.1.8. Example: Finding the Additive Inverse7.1.9. Practice: Finding the Additive Inverse7.1.10. Practice: Finding the Additive Inverse
