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Math 317: Linear Algebra Exam 1Topics 1. Vector Manipulations, Magnitude, Parametric Representations for Lines (See in book: 1.1.1, 1.1.2, 1.1.5, 1.1.6, 1.1.7, 1.1.13, 1.1.25) 2. Spanning Sets and Linear Combinations (See in book: 1.1.8, 1.1.20, 1.1.21, 1.1.22) 3. Dot Product, Orthogonal Vectors, Angle between two vectors, C(B)S inequality, Projections (See in book: 1.2.1, 1.2.2, 1.2.6, 1.2.7, 1.2.11, 1.2.13, 1.2.16, 1.2.17) 4. Systems of Linear Equations and Gaussian Elimination, (Reduced) Row Echelon Form (See in book: 1.4.2, 1.4.3, 1.4.4, 1.4.5, 1.4.6, 1.4.8, 1.4.9, 1.4.11, 1.4.13, 1.4.14, 1.4.15) 5. Consistency of Linear Systems, Constraint Equations and Rank (See in book: 1.5.1, 1.5.2, 1.5.3, 1.5.4, 1.5.7) 6. Uniqueness of Solutions to Linear Systems, Nonsingular Matrices (See in book: 1.5.8, 1.5.9, 1.5.10, 1.5.11, 1.5.12, 1.5.14, 1.5.15) 7. Matrix Operations (See in book: 2.1.1, 2.1.2, 2.1.5, 2.1.6, 2.1.7, 2.1.10, 2.1.11) 8. Linear Transformations (See in book: 2.2.3, 2.2.4, 2.2.5, 2.2.6 2.2.10) Additional Details • Exam 1 will occur in class on Monday, February 15 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