MTH 141
TMU
Course Overview
Lessons & Practice
I. Welcome
54 sec1. Matrices
37min1.1.1. Basics of Matrices3 min1.1.2. Matrix Arithmetic3 min1.1.3. Example1 min1.1.4. Practice2 min1.1.5. Matrix Multiplication6 min1.1.6. Example1 min1.1.7. Example4 min1.1.8. Practice3 min1.1.9. Practice2 min1.1.10. Practice1.1.11. Matrix Transpose3 min1.1.12. Symmetric Matrices3 min1.1.13. Example3 min1.1.14. Practice60 sec1.1.15. Practice2 min
2. Determinants
58min2.1.1. Basics of Determinants5 min2.1.2. Example2 min2.1.3. Practice2 min2.1.4. Practice3 min2.1.5. Determinant & EROs3 min2.1.6. Example2 min2.1.7. Practice2 min2.1.8. Minors and Cofactors4 min2.1.9. Determinants of Large Matrices4 min2.1.10. Example3 min2.1.11. Practice2 min2.1.12. Practice4 min2.1.13. Shortcut for Determinants2 min2.1.14. Example1 min2.1.15. Practice2 min
3. Systems of Equations
1.4hr3.2.1. Augmented Matrix3 min3.2.2. Example3 min3.2.3. Example1 min3.2.4. Practice2 min3.2.5. Practice2 min3.2.6. Echelon Forms5 min3.2.7. Example2 min3.2.8. Example2 min3.2.9. Practice3.2.10. Practice3.2.11. Practice3.2.12. Reducing a Matrix5 min3.2.13. Example3 min3.2.14. Example7 min3.2.15. Practice2 min3.2.16. Practice3 min3.2.17. Practice3.2.18. Solving Linear Systems5 min3.2.19. Homogeneous Systems2 min3.2.20. Example3 min3.2.21. Example5 min3.2.22. Practice2 min3.2.23. Practice5 min
4. Linear Transformations
2hr5.
5hr5.7.1. Basics of Dot Product2 min5.7.2. Example2 min5.7.3. Practice1 min5.7.4. Dot Product Properties3 min5.7.5. Example57 sec5.7.6. Example2 min5.7.7. Practice2 min5.7.8. Practice2 min5.7.9. Angle Between Vectors3 min5.7.10. Example2 min5.7.11. Example2 min5.7.12. Practice: Dot Product & Angle2 min5.7.13. Practice2 min5.7.14. Practice5.7.15. Projection and Perpendicular3 min5.7.16. Example2 min5.7.17. Example3 min5.7.18. Practice5.7.19. Practice3 min5.7.20. Practice: Projections
5.8.1. Equations of Planes in 5 min5.8.2. Example2 min5.8.3. Example4 min5.8.4. Practice2 min5.8.5. Practice5.8.6. Practice (Tricky)4 min5.8.7. Hyperplanes3 min5.8.8. Example1 min5.8.9. Practice3 min5.8.10. Intersection of Lines and Planes2 min5.8.11. Example2 min5.8.12. Example3 min5.8.13. Practice1 min5.8.14. Practice1 min
5.9.1. Cross Product4 min5.9.2. Example3 min5.9.3. Practice2 min5.9.4. Cross Product Properties4 min5.9.5. Example2 min5.9.6. Example2 min5.9.7. Practice2 min5.9.8. Practice2 min5.9.9. Cross Product and Area2 min5.9.10. Example3 min5.9.11. Practice4 min5.9.12. Volume of a Parallelepiped1 min5.9.13. Example2 min5.9.14. Practice1 min
6. Eigenvalues and Eigenvectors
1.8hr7. Vector Spaces and Subspaces
4hr- 7.I. Chapter Overview1 min
7.1.1. Vector Space Axioms16 min7.1.2. Example: Checking the Axioms17 min7.1.3. Practice: Checking the Axioms7.1.4. Practice: Checking the Axioms7.1.5. Example: Finding the Zero Vector5 min7.1.6. Practice: Finding the Zero Vector7.1.7. Practice: Finding the Zero Vector7.1.8. Example: Finding the Additive Inverse6 min7.1.9. Practice: Finding the Additive Inverse7.1.10. Practice: Finding the Additive Inverse
