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.
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