MATH 232
SFU
Course Overview
Lessons & Practice
I. Welcome
54 sec1. Vectors
3hr1.1.1. Basics of Vectors5 min1.1.2. Example1 min1.1.3. Example1 min1.1.4. Practice2 min1.1.5. Vector Operations8 min1.1.6. Example2 min1.1.7. Example2 min1.1.8. Example3 min1.1.9. Practice1 min1.1.10. Practice2 min1.1.11. Practice (Tricky)5 min1.1.12. Vector Properties4 min1.1.13. Example3 min1.1.14. Example3 min1.1.15. Practice: Vector Properties2 min1.1.16. Vector Norm5 min1.1.17. Example3 min1.1.18. Practice2 min1.1.19. Practice7 min1.1.20. Practice3 min1.1.21. Unit Vectors5 min1.1.22. Example2 min1.1.23. Practice2 min
1.2.1. Basics of Dot Product2 min1.2.2. Example2 min1.2.3. Practice1 min1.2.4. Dot Product Properties3 min1.2.5. Example57 sec1.2.6. Example2 min1.2.7. Practice2 min1.2.8. Practice2 min1.2.9. Angle Between Vectors3 min1.2.10. Example2 min1.2.11. Example2 min1.2.12. Practice: Dot Product & Angle2 min1.2.13. Practice2 min1.2.14. Practice1.2.15. Projection and Perpendicular3 min1.2.16. Example2 min1.2.17. Example3 min1.2.18. Practice1.2.19. Practice3 min1.2.20. Practice: Projections
1.3.1. Lines in 8 min1.3.2. Example3 min1.3.3. Example3 min1.3.4. Practice2 min1.3.5. Practice1.3.6. Practice1.3.7. Equations of Planes in 5 min1.3.8. Example2 min1.3.9. Example4 min1.3.10. Practice2 min1.3.11. Practice1.3.12. Practice (Tricky)4 min1.3.13. Hyperplanes3 min1.3.14. Example1 min1.3.15. Intersection of Two Lines3 min1.3.16. Practice3 min1.3.17. Example2 min1.3.18. Example3 min1.3.19. Example2 min1.3.20. Practice2 min1.3.21. Practice7 min1.3.22. Distances5 min1.3.23. Example3 min1.3.24. Example3 min1.3.25. Practice4 min1.3.26. Practice3 min1.3.27. Intersection of Lines and Planes2 min1.3.28. Example2 min1.3.29. Example3 min1.3.30. Practice1 min1.3.31. Practice1 min
2. Systems of Linear Equations
39min3. Matrices
1.5hr3.2.1. Matrix Multiplication6 min3.2.2. Example1 min3.2.3. Example4 min3.2.4. Practice3 min3.2.5. Practice2 min3.2.6. Practice3.2.7. Matrix Transpose3 min3.2.8. Symmetric Matrices3 min3.2.9. Example3 min3.2.10. Practice60 sec3.2.11. Practice2 min3.2.12. Matrix Inverse4 min3.2.13. Example3 min3.2.14. Practice32 sec3.2.15. Practice2 min3.2.16. Matrix Inverse Algorithm3 min3.2.17. Example2 min3.2.18. Example2 min3.2.19. Practice2 min
4. Linear Transformations
42min5. Determinants
58min5.1.1. Basics of Determinants5 min5.1.2. Example2 min5.1.3. Practice2 min5.1.4. Practice3 min5.1.5. Determinants of Large Matrices4 min5.1.6. Minors and Cofactors4 min5.1.7. Example3 min5.1.8. Practice2 min5.1.9. Practice4 min5.1.10. Shortcut for Determinants2 min5.1.11. Example1 min5.1.12. Practice2 min
6. Complex Numbers
1.3hr7. Eigenvalues and Eigenvectors
2.3hr7.4.1. Similarity2 min7.4.2. Trace2 min7.4.3. Example: Properties of Similar Matrices8 min7.4.4. Practice Question: Similarity3 min7.4.5. Practice Question: Eigenvalues of Triangular Matrices4 min7.4.6. Eigenvectors for Distinct Eigenvalues6 min7.4.7. Eigenspaces and Diagonalization10 min7.4.8. Example: Eigenspaces of Commuting Matrices4 min7.4.9. Practice Question: Diagonalizability6 min7.4.10. Complex Numbers6 min7.4.11. Real Eigenvalues and Symmetric Matrices4 min7.4.12. Example: Real and Complex Diagonalizability4 min
8. Subspaces of R^n
1.1hr9. Orthogonality
21minI Welcome
Free Activity
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Answered
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Bader A
Hi, why do the course notes only have one chapter?
Moreover, will the course be updated to the new Spring 2025 semester?
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Isaac S
InstructorHi, On my end I see that the video textbook for MATH 136 includes all chapters.
Answered
G
Garavjeet B
when was this course made?
I
Isaac S
InstructorHi. This course was made last semester, but it will get updated this week.
Answered
Anonymous
Just finished my final exam for lin alg and just wanted to say thanks for all the great lessons and example problems. Def gonna recommend this site to other people soon to be taking the course
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Luc L
InstructorThank you so much for this great feedback! It's really nice to hear that you found the content helpful :)
Answered
Anonymous
How do we download the booklets for each lesson?
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Luc L
InstructorAt this time there is no option to download online lesson content.
Answered
Anonymous
what happens at the end of the 7 day free trial, do we get charged automatically or how does this this work?
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Luc L
InstructorThere is no need to cancel your Wize All-Access Pass subscription after the free trial. Since Wize does not take any credit card information for the free trial, your access will automatically end after the 7-day free trial. You will not be charged unless you decide to subscribe after your trial.
Answered
Anonymous
are the practice questions going to be graded?
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Luc L
InstructorWize practice questions will tell you whether or not your answer is correct, but this is just to help give you feedback on your understanding.
I recommend that you check your syllabus or ask your instructor about the evaluations involved in your course.
Answered
Anonymous
are there tests
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Luc L
InstructorThis Wize course does not have tests or other assessments worth marks, rather we offer relevant practice questions with full solutions to help you understand your course material.
Answered
Anonymous
what is a linear equation
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Luc L
InstructorLet's say we have a variable, .
A linear equation in is when we are only allowed to multiply by some number, and possibly add some number.
A general linear equation looks like:
Answered
Anonymous
What exact concepts are there
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Luc L
InstructorThe concepts are tailored to the course you're taking. Broadly speaking, there is content that covers:
- Vectors
- Products of Vectors
- Equations of Lines and Planes
- Systems of Linear Equations
- Matrices
- Determinants
- Vector Spaces and Subspaces
- Complex Numbers
- Linear Transformations
- Eigenvalues and Eigenvectors
Answered
Anonymous
Are there tests at the end of the course?
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Luc L
InstructorWize helps you study for your courses (high school or post-secondary). We do not have tests or other assessments worth marks, rather we offer relevant practice questions with full solutions to help you understand your course material.
Answered
Anonymous
How often do we meet for the course?
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Luc L
InstructorThere are no meetings. All of your course content can be accessed at anytime, and you can pick and choose the most relevant sections you'd like help with.
Answered
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Ella K
Is wise a tutoring online program?
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Luc L
InstructorYes. Wize offers online video "textbooks" with helpful lessons as well as Examples and Practice Questions. This streamlined approach to learning has received outstanding feedback from students!
Answered
Anonymous
Is wize available 24/7 for question?
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Luc L
InstructorYes, and we try to answer questions as soon as possible (typically within one business day)
Welcome to Linear Algebra!
My name is Luc and I'm the instructor for this course.
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