Welcome to MA122! This on-demand course was put together especially for MA122 at Wilfrid Laurier University. Use the video lessons and notes to understand your lecture topics better, and the practice questions to cement your knowledge. And don't hesitate to leave a question in the Q&A box under each lesson if you need additional help with anything. Happy studying!
MA122
Wilfrid Laurier University
Course Overview
Lessons & Practice
I. Welcome
54 sec1. Euclidean Spaces
2.2hr1.3.1. Vector Norm5 min1.3.2. Example3 min1.3.3. Practice2 min1.3.4. Practice7 min1.3.5. Practice3 min1.3.6. Basics of Dot Product2 min1.3.7. Example2 min1.3.8. Practice1 min1.3.9. Dot Product Properties3 min1.3.10. Example57 sec1.3.11. Example2 min1.3.12. Practice2 min1.3.13. Practice2 min1.3.14. Angle Between Vectors3 min1.3.15. Example2 min1.3.16. Example2 min1.3.17. Practice: Dot Product & Angle2 min1.3.18. Practice2 min1.3.19. Practice
2. Systems of Linear Equations
54min2.2.1. Augmented Matrix3 min2.2.2. Example3 min2.2.3. Example1 min2.2.4. Practice2 min2.2.5. Practice2 min2.2.6. Echelon Forms5 min2.2.7. Example2 min2.2.8. Example2 min2.2.9. Practice2.2.10. Practice2.2.11. Practice2.2.12. Reducing a Matrix5 min2.2.13. Example3 min2.2.14. Example7 min2.2.15. Practice2 min2.2.16. Practice3 min2.2.17. Practice
3. Matrix Algebra
1.6hr3.1.1. Basics of Matrices3 min3.1.2. Matrix Arithmetic3 min3.1.3. Example1 min3.1.4. Practice2 min3.1.5. Matrix Multiplication6 min3.1.6. Example1 min3.1.7. Example4 min3.1.8. Practice3 min3.1.9. Practice2 min3.1.10. Practice3.1.11. Matrix Transpose3 min3.1.12. Symmetric Matrices3 min3.1.13. Example3 min3.1.14. Practice60 sec3.1.15. Practice2 min3.1.16. Matrix Inverse4 min3.1.17. Example3 min3.1.18. Practice32 sec3.1.19. Practice2 min
3.3.1. Determinant of Triangular Matrices4 min3.3.2. Diagonal Matrix3 min3.3.3. Identity Matrix1 min3.3.4. Matrix Multiplication and Identity3.3.5. Symmetric Matrices6 min3.3.6. Example: Symmetric Matrices4 min3.3.7. Practice: Symmetric Matrices3.3.8. Example: Real and Complex Diagonalizability4 min3.3.9. Practice Question: Symmetric Matrices3.3.10. Orthogonal Matrix3 min3.3.11. Orthogonal Matrices
4. Determinants
1.1hr4.1.1. Basics of Determinants5 min4.1.2. Example2 min4.1.3. Practice2 min4.1.4. Practice3 min4.1.5. Minors and Cofactors4 min4.1.6. Determinants of Large Matrices4 min4.1.7. Example3 min4.1.8. Practice2 min4.1.9. Practice4 min4.1.10. Shortcut for Determinants2 min4.1.11. Example1 min4.1.12. Practice2 min
5. Subspaces of and Their Bases
57min5.1.1. Linear Independence6 min5.1.2. Example2 min5.1.3. Example1 min5.1.4. Practice3 min5.1.5. Span5 min5.1.6. Example2 min5.1.7. Practice1 min5.1.8. Practice2 min5.1.9. Solving Linear Systems5 min5.1.10. Homogeneous Systems2 min5.1.11. Example3 min5.1.12. Example5 min5.1.13. Practice2 min5.1.14. Practice5 min
6. Linear Transformations
49min7. Eigenvalues, Eigenvectors and Diagonalization
1.1hrMA122 Overview
0:00 / 0:00
Get Started
Up Next
I Welcome 54sec
Course Notes
Wizeprep's course notes with hundreds of easy-to-understand explanations, diagrams, and practice problems.
Course Notes
Wizeprep's course notes with hundreds of easy-to-understand explanations, diagrams, and practice problems.