Math 220 - Linear algebra
Resources Available: Text (3), Student Solutions manual (2)
Videos for Linear Algebra
Videos provided thru MIT Open Courseware (here).
1:
The Geometry of Linear Equations
2:
Elimination with Matrices
3:
Multiplication and Inverse Matrices
4:
Factorization into A = LU
5:
Transposes: Permutations: Spaces R^n
6:
Column Space and Nullspace
7:
Solving Ax = 0: Pivot Variables: Special Solutions
8:
Solving Ax = b: Row Reduced Form R
9:
Independence: Basis: and Dimension
10:
The Four Fundamental Subspaces
11:
Matrix Spaces; Rank 1; Small World Graphs
12:
Graphs: Networks: Incidence Matrices
13:
Quiz 1 Review
14:
Orthogonal Vectors and Subspaces
15:
Projections onto Subspaces
16:
Projection Matrices and Least Squares
17:
Orthogonal Matrices and Gram-Schmidt
18:
Properties of Determinants
19:
Determinant Formulas and Cofactors
20:
Cramer's Rule: Inverse Matrix: and Volume
21:
Eigenvalues and Eigenvectors
22:
Diagonalization and Powers of A
23:
Differential Equations and exp(At)
24:
Markov Matrices; Fourier Series
24b:
Quiz 2 Review
25:
Symmetric Matrices and Positive Definiteness
26:
Complex Matrices; Fast Fourier Transform
27:
Positive Definite Matrices and Minima
28:
Similar Matrices and Jordan Form
29:
Singular Value Decomposition
30:
Linear Transformations and Their Matrices
31:
Change of Basis; Image Compression
32:
Quiz 3 Review
33:
Left and Right Inverses; Pseudoinverse
34:
Final Course Review
Last updated: March 29, 2010