The primary text is available on-line, Don Allen's "Lectures on Linear Algebra and Matrices" (Table of Contents)
The secondary text is also on-line, Granville Sewell's "Computational Methods of Linear Algebra"
Topics | Allen book | Sewell book |
---|---|---|
Vectors and Vector Spaces | Chapter 1 | -- |
Matrices and Linear Algebra | Chapter 2 | -- |
Eigenvalues and Eigenvectors | Chapter 3 | -- |
Unitary Matrices | Chapter 4 | -- |
Hermitian Theory | Chapter 5 | -- |
Factorization Theorems | Chapter 7 | -- |
Linear Programming | -- | Chapter 4 |
read Allen sections | Allen problems | read Sewell sections | Sewell problems | date due |
---|---|---|---|---|
1.1 to 1.4 | 1-7,10,11 | -- | -- | Sept 6 |
1.5 to 1.7 | 12-17,19,22,23,24 | -- | -- | Sept 13 |
2.1 to 2.4 | 2,3,4,8,18,20,25,26,35,42,46,48,49,58,60 | (0.1 to 1.4)* | -- | Sept 20 |
2.5 to 2.9 | 1,7,9,12,33,37(n=4 only),52 | -- | -- | Sept 27 |
Test I | ++++++++++ | ++++++++++ | ++++++++++ | Sept 27-29 |
3.1, 3.3 | 2,5,6,12,19,28(ii),30 | 0.3* | -- | Oct 11 |
3.5 | 14,16,17,21,22,24 | -- | -- | Oct 18 |
4.1 to 4.2 | 1,4,7,11,13,15,16,18a | -- | -- | Oct 25 |
5.1 to 5.4 | 1,2,4,6(A=Hermitian) | -- | 3.17a,c,d,e | Nov 1 |
Test II | ++++++++++ | ++++++++++ | ++++++++++ | Nov 3-5 |
7.1 | -- | 1.2,1.4 | 1.14 | Nov 15 |
7.4 | 2,5 | 2.1,2.2 | 2.1,2.2,2.4(by hand),2.10 | Nov 22 |
-- | -- | 4.1,4.2,4.4 | 4.1 | Nov 29 |
-- | -- | 4.3 | 4.2,4.3,4.4,4.11 | Dec 6 |
Final | ++++++++++ | ++++++++++ | ++++++++++ | Dec 13-15 |
* = recommended, not essential, reading
The Cauchy-Schwartz Inequality
Chapter 7 Video (LU decomposition)
Chapter 7 Video (QR decomposition)
LP Video (Resource Allocation Problem)
LP Video (Artificial Variables)