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Math 317: Linear Algebra Exam 3 Topics 1. Abstract Vector Spaces (See in book: 3.6.2a, 3.6.2b, 3.6.3, 3.6.8, 3.6.9, 3.6.10a) 2. Projections (See in book: 4.1.1–4.1.5, 4.1.13, 4.1.15) 3. Least Square Solutions (See in book: 4.1.6–4.1.8) 4. Orthogonal Bases/Gram-Schmidt Procedure (See in book: 4.2.1–4.2.6, 4.2.10) 5. QR Factorization (4.2.8, 4.2.9) 6. Matrices for Linear Transformations (See in book: 4.3.5, 4.3.7, 4.3.8, 4.3.9, 4.3.11, 4.3.12ab, 4.3.13, 4.3.16) 7. Similar Matrices (See in book: 4.3.17–4.3.21) 8. Determinants (See in book: 5.1.1, 5.1.2, 5.1.4, 5.1.5, 5.1.10, 5.1.11) Additional Details • Exam 2 will occur in class on Monday, April 18 in our usual classroom. • In addition to going over the homework, please refer to the examples done in class, as parts of the exam may resemble these examples. • Although you have 50 minutes to complete the exam, I will be in the classroom at 1:55 PM for those who would like extra time. The exam will conclude at 3:05 PM. • No notes or electronic devices may be used on the exam. 1