This is an archived course. A more recent version may be available at ocw.mit.edu.

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Calendar

Lec # TOPICS KEY DATES
1 Systems of Linear Equations  
2 Echelon Form  
3 Matrices  
4 Matrices (cont.)  
5 Solution Spaces Problem set 1 due
6 Inverses and Transposes  
7 Fields and Spans  
8 Vector Spaces Problem set 2 due
9 Linear Independence  
10 Basis and Dimension  
11 Coordinates Problem set 3 due
12 Review for Quiz 1  
13 Quiz 1 (Chapters 0-1)  
14 Determinants  
15 Permutations  
16 Determinants (cont.) Problem set 4 due
17 Laplace Expansion  
18 Review for Quiz 2 Problem set 5 due
19 Quiz 2 (Chapter 2)  
20 Linear Transformations  
21 Rank, Kernel, Image  
22 Matrix Representations  
23 Eigenspaces  
24 Eigenspaces (cont.) Problem set 6 due
25 Diagonalization  
26 Cayley-Hamilton Theorem  
27 Jordan Canonical Form  
28 Review for Quiz 3 Problem set 7 due
29 Quiz 3 (Chapter 3)  
30 Computing Generalized Eigenvectors  
31 Norms and Inner Products  
32 Norms and Inner Products (cont.)  
33 Orthogonal Bases  
34 Orthogonal Projections  
35 Isometries, Spectral Theory  
36 Singular Value Decomposition Problem set 8 due
37 Polar Decomposition  
38 Review for the Final