MATH 672 Download Page
As of November 22, 2021, large portions of this site are offline.
- Course Syllabus (size: 121K)
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- Handouts
- Coordinate Systems (size: 94K) revised version posted 9/25/14
- The Eigenvector Basis (size: 99K)
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- Homework Sets
- Homework Set 1 (size: 111K), Solution Set (size: 126K)
- Vector spaces, subspaces, direct sums (chapter 1).
- Homework Set 2 (size: 98K), Solution Set (size: 149K)
- Span, linear independence, bases, dimension (chapter 2).
- Homework Set 3 (size: 115K), Solution Set (size: 192K)
- Linear transformations (chapter 3).
- Homework Set 4 (size: 101K) revised version posted 9/25/14, Solution Set (size: 132K) revised version posted 10/11/14
- Matrices of linear transformations (chapter 3).
- Homework Set 5 (size: 118K), Solution Set (size: 136K)
- Eigenvalues, invariant subspaces, diagonalization (chapter 5).
- Homework Set 6 (size: 118K), Solution Set (size: 128K)
- Matrix polynomials, upper triangular matrices, inner product and normed spaces (chapters 5 and 6).
- Homework Set 7 (size: 125K) revised version posted 10/27/14, Solution Set (size: 128K)
- Angles and orthogonality, orthogonal projections (chapter 6).
- Homework Set 8 (size: 124K), Solution Set (size: 144K)
- Gram Schmidt-procedure, minimization problems, linear functionals, the adjoint, self-adjoint and normal operators (chapters 6, 7).
- Homework Set 9 (size: 124K), Solution Set (size: 140K)
- The spectral theorem, isometries (chapter 7).
- Homework Set 10 (size: 110K) revised version posted 11/21/14, Solution Set (size: 127K)
- Generalized eigenvectors, change of basis, polynomials of an operator (chapters 8, 10).
- Supplemental Study Material (size: 123K) revised version posted 12/2/14, Solution Set (size: 141K) revised version posted 12/7/14
- Cayley-Hamilton theorem, Jordan form (chapter 8).
Return to the syllabi download page.