## Mathematics 349-080Elementary Linear Algebra Fall 2024Department of Mathematical Sciences University of Delaware

• Course Syllabus (size: 154K)
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• Mathematica Notebooks
•  Vector Analysis (size: 50K) Transition Matrices and Norms (size: not yet posted) Dot Product, Linear Systems (size: 47K) Gram-Schmidt, Least Squares (size: not yet posted) The Matrix-Vector Form (size: not yet posted) Determinants (size: not yet posted) Matrix Operations (size: not yet posted) Eigenvalues, Eigenvectors (size: not yet posted) Subspaces of a Matrix (size: not yet posted) Diagonalization (size: not yet posted)
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• Handouts
Proof Techniques (size: 175K)
Invertible Matrix Theorem (size: not yet posted)
Coordinate Systems (size: not yet posted)
Similarity Transformations (size: not yet posted)
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• Homework Sets
Homework Set 1 (size: 132K), Solution Set (size: not yet posted)
Vector analysis (parts of sections 1.1, 2.3, 3.5).
Homework Set 2 (size: 112K), Solution Set (size: not yet posted)
The dot product, systems of linear equations (sections 1.2, 2.1).
Homework Set 3 (size: not yet posted), Solution Set (size: not yet posted)
Solving linear systems, matrix operations (sections 2.2, 2.4, 3.1, 3.2).
Homework Set 4 (size: not yet posted), Solution Set (size: not yet posted)
Matrices and related spaces (sections 3.3, 3.5, 6.1).
Homework Set 5 (size: not yet posted), Solution Set (size: not yet posted)
Vector spaces, basis, dimension (sections 3.5, 6.2).
Homework Set 6 (size: not yet posted), Solution Set (size: not yet posted)
Change of basis, inner product spaces, orthogonality, orthogonal subspaces, Gram-Schmidt (sections 5.1-5.3, 6.3, 7.1, 7.2).
Homework Set 7 (size: not yet posted), Solution Set (size: not yet posted)
Change of basis, inner product spaces, orthogonality, orthogonal subspaces, Gram-Schmidt (sections 5.1-5.3, 6.3, 7.1, 7.2).Linear transformations, matrix representations (sections 3.6, 6.4-6.6).
Homework Set 8 (size: not yet posted), Solution Set (size: not yet posted)
Determinants (section 4.2).
Homework Set 9 (size: not yet posted), Solution Set (size: not yet posted)
Cramer’s Rule, eigenvalues (sections 4.1-4.3).
Supplemental Study Material (size: not yet posted), Solution Set (size: not yet posted)
Diagonalization (sections 4.4).
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• Honors Assignments
Honors Assignment 1 (size: 113K)
Honors Assignment 2 (size: not yet posted)
Honors Assignment 3 (size: not yet posted)