MATH 672 Download Page

• Textbook:
• Haberman, Richard. Axler, S.  Linear Algebra Done Right, 2nd ed. New York: Springer-Verlag, 2001.
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• Suggestion Box

• 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.