**Chapter 1: Matrices and Determinants**

**Exercises: **

**1.1** Systems of Equations: 1-17 odd, 21-31 odd;

**1.2** Matrices and Matrix Operations: 1-39 odd, 32;

**1.3** Inverses of Matrices: 1-11 odd, 15, 19, 20, 21, 23, 25;

**1.4** Special Matrices and Additional Properties of Matrices: 1-23
odd, 29-32 all;

**1.5** Determinants: 1-13 odd, 15, 16, 17;

**1.6** Further Properties of Determinants: 1,
3, 7, 9, 11, 15;

**Chapter 2: ****Vector Spaces**** **

Exercises:

**2.1** Vector Spaces: 1-7 all, 9, 11;

**2.2** Subspaces and Spanning Sets: 1-7 all, 9-22 all, 24, 25;

**2.3** Linear Independence and Bases: 1-27 odd, 28, 30, 31;

**2.4** Dimension: Nullspace, Row Space, and Column Space: 1-4 all,
5-15 odd, 16-21 all, 23-27 all;

**2.5** Wronskians: 1-7 all, 11, 12, 13, 15;

**Chapter 3: ****First Order Ordinary
Differential Equations **

Exercises:

**3.2** Separable Differential Equations: 1-17 odd, 21;