SC/MATH 1025 3.00
York U
Course Overview
Lessons & Practice
I. Welcome
1.
5hr1.7.1. Basics of Dot Product1.7.2. Example1.7.3. Practice1.7.4. Dot Product Properties1.7.5. Example1.7.6. Example1.7.7. Practice1.7.8. Practice1.7.9. Angle Between Vectors1.7.10. Example1.7.11. Example1.7.12. Practice: Dot Product & Angle1.7.13. Practice1.7.14. Practice1.7.15. Projection and Perpendicular1.7.16. Example1.7.17. Example1.7.18. Practice1.7.19. Practice1.7.20. Practice: Projections
1.10.1. Span1.10.2. Example1.10.3. Practice1.10.4. Practice1.10.5. Linear Independence1.10.6. Example1.10.7. Example1.10.8. Practice1.10.9. Vector Spaces1.10.10. Example1.10.11. Example1.10.12. Practice1.10.13. Practice1.10.14. Subspaces1.10.15. Example1.10.16. Practice1.10.17. Basis and Dimension1.10.18. Example1.10.19. Basis and Dimension1.10.20. Practice1.10.21. Coordinates1.10.22. Example1.10.23. Practice1.10.24. Practice1.10.25. Column Space and Null Space (Range and Kernel)1.10.26. Example1.10.27. Practice
2. Systems of Equations
1.6hr2.2.1. Augmented Matrix2.2.2. Example2.2.3. Example2.2.4. Practice2.2.5. Practice2.2.6. Echelon Forms2.2.7. Example2.2.8. Example2.2.9. Practice2.2.10. Practice2.2.11. Practice2.2.12. Reducing a Matrix2.2.13. Example2.2.14. Example2.2.15. Practice2.2.16. Practice2.2.17. Practice2.2.18. Solving Linear Systems2.2.19. Homogeneous Systems2.2.20. Example2.2.21. Example2.2.22. Practice2.2.23. Practice2.2.24. Rank of a Matrix2.2.25. Example2.2.26. Practice2.2.27. Practice
3. Matrices
1.5hr3.1.1. Basics of Matrices3.1.2. Matrix Arithmetic3.1.3. Example3.1.4. Practice3.1.5. Matrix Multiplication3.1.6. Example3.1.7. Example3.1.8. Practice3.1.9. Practice3.1.10. Practice3.1.11. Matrix Transpose3.1.12. Symmetric Matrices3.1.13. Example3.1.14. Practice3.1.15. Practice3.1.16. Matrix Inverse3.1.17. Example3.1.18. Practice3.1.19. Practice3.1.20. Elementary Matrices3.1.21. Example3.1.22. Example3.1.23. Practice3.1.24. Practice3.1.25. Matrix Inverse Algorithm3.1.26. Example3.1.27. Example3.1.28. Practice3.1.29. Invertible Matrix Theorem3.1.30. Example3.1.31. Practice3.1.32. Solving Matrix Equations3.1.33. Example3.1.34. Example3.1.35. Practice3.1.36. Practice3.1.37. Practice
4. Determinants
1.2hr4.1.1. Basics of Determinants4.1.2. Example4.1.3. Practice4.1.4. Practice4.1.5. Determinant & EROs4.1.6. Example4.1.7. Practice4.1.8. Minors and Cofactors4.1.9. Determinants of Large Matrices4.1.10. Example4.1.11. Practice4.1.12. Practice4.1.13. Shortcut for Determinants4.1.14. Example4.1.15. Practice
5. Linear Transformations
49min6. Complex Numbers
1.3hr7. Spectral Theory
1.9hrTest 1 Overview
Course Notes
Wizeprep's course notes with hundreds of easy-to-understand explanations, diagrams, and practice problems.