Mathematics 672 Download Page (Fall 2002)
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- Course
Syllabus (size: 79K)
- Homework Sets
- Homework
Set 1 (size: 38K) revised version posted 9/16/02,
Solution
Set (size: 62K)
- Vector spaces, subspaces, direct sums (chapter 1).
- Homework
Set 2 (size: 41K) revised version posted 9/23/02, Solution
Set (size: 74K)
- Direct sums, span, linear independence, bases (chapters 1, 2).
- Homework
Set 3 (size: 38K) revised version posted 9/23/02, Solution
Set (size: 64K)
- Bases, dimension, linear transformations (chapters 2, 3).
- Homework
Set 4 (size: 40K) revised version posted 9/30/02, Solution
Set (size: 63K)
- Linear transformations and matrices thereof (chapter 3).
- Homework
Set 5 (size: 47K), Solution
Set (size: 77K) revised version posted 10/28/02
- Matrices of linear transformations, eigenvalues, invariant
subspaces (chapters 3, 5).
- Homework
Set 6 (size: 39K) revised version posted 10/22/02, Solution
Set (size: 66K)
- Diagonal and upper triangular matrices (chapter 5).
- Homework
Set 7 (size: 49K), Solution
Set (size: 81K)
- Inner product and normed spaces, angles and orthogonality
(chapter 6).
- Homework
Set 8 (size: 50K), Solution
Set (size: 92K)
- Orthogonal projections, Gram-Schmidt procedure, linear
functionals (chapter 6).
- Homework
Set 9 (size: 35K), Solution
Set (size: 58K)
- The adjoint, self-adjoint operators (chapters 6, 7).
- Homework
Set 10 (size: 47K) revised version posted 11/25/02, Solution
Set (size: 77K)
- Normal operators, the spectral theorem, isometries (chapter 7).
- Homework
Set 11 (size: 36K) revised version posted 12/2/02, Solution
Set (size: 68K)
- Generalized eigenvectors, polynomials of an operator,
Cayley-Hamilton theorem (chapter 8).
- Supplemental
Study Material (size: 38K) revised version posted
12/10/02, Solution
Set (size: 78K)
- Jordan form, positive semidefinite operators (chapter 8).
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