Mathematics 672 Download Page (Fall 2008)
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- Course
Syllabus (size: 108K)
- Homework Sets
- Homework
Set 1 (size: 64K), Solution
Set (size: 76K)
- Vector spaces, subspaces, direct sums (chapter 1).
- Homework
Set 2 (size: 68K) revised
version posted 9/22/08, Solution
Set (size: 88K)
- Span, linear independence, bases (chapter 2).
- Homework
Set 3 (size: 68K), Solution
Set (size: 80K) revised
version posted 10/1/08
- Bases, dimension, linear transformations (chapters 2, 3).
- Homework
Set 4 (size: 64K) revised
version posted 9/30/08, Solution
Set (size: 80K)
- Linear transformations and matrices thereof (chapter 3).
- Homework
Set 5 (size: 76K), Solution
Set (size: 88K)
- Matrices of linear transformations, eigenvalues, invariant
subspaces (chapters 3, 5).
- Homework
Set 6 (size: 80K), Solution
Set (size: 76K)
- Diagonal and upper triangular matrices (chapter 5).
- Homework
Set 7 (size: 84K) revised
version posted 10/30/08, Solution
Set (size: 100K)
- Inner product and normed spaces, angles and orthogonality
(chapter 6).
- Homework
Set 8 (size: 71K) revised
version posted 11/7/08, Solution
Set (size: 92K)
- Orthogonal projections, Gram-Schmidt procedure, linear
functionals (chapter 6).
- Homework
Set 9 (size: 64K), Solution
Set (size: 80K)
- The adjoint, self-adjoint operators (chapters 6, 7).
- Homework
Set 10 (size: 76K) revised
version posted 11/21/08, Solution
Set (size: 96K)
- Normal operators, the spectral theorem, isometries (chapter 7).
- Homework
Set 11 (size: 68K) revised
version posted 12/5/08, Solution
Set (size: 84K)
- Generalized eigenvectors, polynomials of an operator,
Cayley-Hamilton theorem (chapter 8).
- Supplemental
Study Material (size: 112K), Solution
Set (size: 80K) revised
version posted 2/2/09
- Jordan form, positive semidefinite operators (chapter 8).
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