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Assignments: Initial Assignment Due Friday, January 18: Assignment 1: Difranza & Gagliardi, Section 1.1 # 3, 7, 11, 17, 21, 25, 27, 29, 33 (see example 6 on p. 11), 40, 41; Section 1.2 # 3, 7, 9, 13, 17, 41, 45, 47, 51. Due Due Wednesday, February 13: Assignment 3: D&G, Section 3.3 # 13, 17, 38; Treil # 1.3, 1.4, 1.6, 1.7, 1.8. 2.1, 2.2, 2.5, 2.6, Due Wednesday, February 20: Assignment 4: D&G, Section 3.2 # 3, 9, 15, 19, 45, 47, 48, 50; Section 4.1 # 3, 5, 11-14, 17, 23, 25, 29, 33, 35, 42, 44, 45; Due Wednesday, March 6: Assignment 5: Treil # 3.2, 3.3, 3.4, 5.1, 5.3, 5.4, 5.5, 5.7, 5.8; D & G, Section 4.2 # 3, 7, 11, 17, 19, 23, 25, 27, 31, 37, 39; Section 4.4 # 19. Due Wednesday, March 27: Assignment 6: D&G, Section 1.4 # 1, 5, 7 (you should be able to see immediately, without computing a determinant or solving a system of linear equations, why this matrix is not invertible), 11, 13 (you should be able to see immediately, without computing a determinant or solving a system of linear equations, why this matrix is not invertible -- look at columns 1, 2, and 3), 15, 18, 28, 35, 36; Section 1.7 # 3, 5, 9; Section 1.8 # 1, 5, 19; Section 4.5 # 11, 13, 15, 17, 19; 4.6 # 1, 2 Due Wednesday, April 17: Assignment 7: Worksheet on Rank/Nullity Due Monday, April 22: Assignment 8: D&G, Section 1.6 # 1, 5, 7 (hint: to compute determinants efficiently, expand on a row or column with lots of zeros!), 9, 13, 17, 21, 25, 27-31, 35. Due Friday, April 22: Assignment 9: D&G, Section 5.1 # 7, 11, 13, 17-19, 23. |
Exams: Quiz 1 Midterm Exam Quiz 2 End-of-term Exam |
References: Linear Algebra, by Jim Hefferon Linear Algebra, by E. Kowalski Linear Algebra Done Wrong, by Sergei Treil |
Solutions and
Supplementary Materials: Field Axioms Review problems for Quiz 2 Supplementary review problems for Quiz 2 Two important theorems on dimension Row rank = column rank |