Course SummaryThis is a basic subject on matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines, including systems of equations, vector spaces, determinants, eigenvalues, similarity, and positive definite matrices. The lectures were conducted by Prof. Gilbert Strang at MIT in Spring 2005. Prof. Gilbert Strang is the author of the textbook Introduction to Linear Algebra used in the course.
Reading Material1. Textbook (MIT 18.06): Introduction to Linear Algebra. 3rd ed.
Strang, Gilbert. Introduction to Linear Algebra. 3rd ed. Wellesley, MA: Wellesley-Cambridge Press, March 2003. ISBN: 0961408898.
(Click the button below to see a preview of the book)
Course Material1. Assignments (MIT 18.06 updated Spring 2010)
Problem set 1 (pdf)
Problem set 2 (pdf)
Problem set 3 (pdf)
Problem set 4 (pdf)
Problem set 5 (pdf)
Problem set 6 (pdf)
Problem set 7 (pdf)
Problem set 8 (pdf)
Problem set 9 (pdf)
Problem set 10 (pdf)
2. Exams questions (MIT 18.06 updated Spring 2010)
|Exam 1 (pdf)||Solution 1 (pdf)|
|Exam 2 (pdf)||Solution 2 (pdf)|
|Exam 3 (pdf)||Solution 3 (pdf)|
|Final exam (pdf)||Solution Final (pdf)|
3. Eigenvalue Demonstrations
These are flash animations which were developed by Jean-Michel Claus (with voiceover by Gilbert Strang).
4. Mini-lectures on Eigenvalues
The mini-lectures are to help to explain some key Eigenvalue concepts.
5. Past exam questions (MIT 18.06)
Exam questions from past exams for review.
Other ResourcesNot available.
Software1. Java applets for demonstrating linear algebra concepts
Java applets for demonstrating concepts in the course developed by Pavel Grinfeld.
- SVD (Singular Value Decomposition)
- Gaussian Elimination
- Gram-Schmidt = Orthogonalization
- Inner Product of Functions
- Sum of Fourier Series
- Sum of Trigonometric Series
- Gibbs Phenomenon
- Column Spaces
- Least Squares
- Power Method