Linear Algebra GE3WH5EF6G
| URI | m2://res/GE3WH5EF6G |
|---|---|
| Kind | course |
| Creators | Gilbert Strang (instructor) |
| Date | 2010 |
| Scope | in |
| Ids | course 042nb2s44:18.06 |
Expressions
e1: offering, Spring 2010
| Language | en |
|---|---|
| Date | 2010 |
| Contributors | Gilbert Strang (instructor) |
| Ids | offering 042nb2s44:18.06:2010-spring |
- m1: page, MIT OpenCourseWare, 2010. ocw 18-06-linear-algebra-spring-2010
Contents
- session 1: The geometry of linear equations
- session 2: Elimination with matrices
- session 3: Matrix operations and inverses
- session 4: LU and LDU factorization
- session 5: Transposes and permutations
- session 6: Vector spaces and subspaces
- session 7: The nullspace: Solving Ax = 0
- session 8: Rectangular PA = LU and Ax = b
- session 9: Row reduced echelon form
- session 10: Basis and dimension
- session 11: The four fundamental subspaces
- session 12: Exam 1: Chapters 1 to 3.4
- session 13: Graphs and networks
- session 14: Orthogonality
- session 15: Projections and subspaces
- session 16: Least squares approximations
- session 17: Gram-Schmidt and A = QR
- session 18: Properties of determinants
- session 19: Formulas for determinants
- session 20: Applications of determinants
- session 21: Eigenvalues and eigenvectors
- session 22: Diagonalization
- session 23: Markov matrices
- session 24: Review for exam 2
- session 25: Exam 2: Chapters 1-5, 6.1-6.2, 8.2
- session 26: Differential equations
- session 27: Symmetric matrices
- session 28: Positive definite matrices
- session 29: Matrices in engineering
- session 30: Similar matrices
- session 31: Singular value decomposition
- session 32: Fourier series, FFT, complex matrices
- session 33: Linear transformations
- session 34: Choice of basis
- session 35: Linear programming
- session 36: Course review
- session 37: Exam 3: Chapters 1-8 (8.1, 2, 3, 5)
- session 38: Numerical linear algebra
- session 39: Computational science
- session 40: Final exam
Related resources
- Exam 3 is part_of this resource
- Problem Set 4 Solutions is part_of this resource
- Problem Set 8 Solutions is part_of this resource
- Lecture 18: Properties of determinants is part_of this resource
- Problem Set 6 Solutions is part_of this resource
- Final Exam is part_of this resource
- Lecture 19: Determinant formulas and cofactors is part_of this resource
- Exam 1 is part_of this resource
- Lecture 34: Final course review is part_of this resource
- Lecture 1: The geometry of linear equations is part_of this resource
- Lecture 28: Similar matrices and Jordan form is part_of this resource
- Lecture 25: Symmetric matrices and positive definiteness is part_of this resource
- Lecture 23: Differential equations and exp(At) is part_of this resource
- Lecture 13: Quiz 1 review is part_of this resource
- Final exam with solutions is part_of this resource
- Lecture 17: Orthogonal matrices and Gram-Schmidt is part_of this resource
- Lecture 12: Graphs, networks, incidence matrices is part_of this resource
- Lecture 9: Independence, basis, and dimension is part_of this resource
- Problem Set 5 Solutions is part_of this resource
- Lecture 30: Linear transformations and their matrices is part_of this resource
- Problem Set 10 Solutions is part_of this resource
- Lecture 14: Orthogonal vectors and subspaces is part_of this resource
- Lecture 33: Left and right inverses; pseudoinverse is part_of this resource
- Lecture 31: Change of basis; image compression is part_of this resource
- Problem Set 3 Solutions is part_of this resource
- Exam 1 solutions is part_of this resource
- Lecture 11: Matrix spaces; rank 1; small world graphs is part_of this resource
- Lecture 24b: Quiz 2 review is part_of this resource
- Lecture 7: Solving Ax = 0: pivot variables, special solutions is part_of this resource
- Problem Set 2 Solutions is part_of this resource
- Lecture 22: Diagonalization and powers of A is part_of this resource
- Lecture 10: The four fundamental subspaces is part_of this resource
- Exam 2 solutions is part_of this resource
- Lecture 27: Positive definite matrices and minima is part_of this resource
- Lecture 6: Column space and nullspace is part_of this resource
- Lecture 2: Elimination with matrices is part_of this resource
- Lecture 26: Complex matrices; fast fourier transform is part_of this resource
- Problem Set 9 Solutions is part_of this resource
- Lecture 20: Cramer's rule, inverse matrix, and volume is part_of this resource
- Lecture 4: Factorization into A = LU is part_of this resource
- Problem Set 7 Solutions is part_of this resource
- Lecture 16: Projection matrices and least squares is part_of this resource
- Lecture 8: Solving Ax = b: row reduced form R is part_of this resource
- Lecture 15: Projections onto subspaces is part_of this resource
- Exam 2 is part_of this resource
- Lecture 3: Multiplication and inverse matrices is part_of this resource
- Lecture 5: Transposes, permutations, spaces R^n is part_of this resource
- Problem Set 1 Solutions is part_of this resource
- Lecture 21: Eigenvalues and eigenvectors is part_of this resource
- Lecture 29: Singular value decomposition is part_of this resource
- Lecture 32: Quiz 3 review is part_of this resource
- Lecture 24: Markov matrices; fourier series is part_of this resource
- Exam 3 solutions is part_of this resource
Catalogue records
- ocw: 18-06-linear-algebra-spring-2010 (manifestation)