**Learning objectives**

- Understand the structure of solutions of systems of linear equations
- Interpret linear systems as vector equations

**Before class**

- Read Lay sections 1.3, 1.4, 1.5
- Consult notes to the textbook (if you wish)
- Ponder Lay problems 1.3: 11-14, 17, 19, 22, 23, 25, 26; 1.4: 13, 17-20, 23, 27, 31; 1.5: 5, 8, 13, 23, 28, 29, 35.
- Post to Piazza
- Write solutions to problems 1.1: 24, 33-34; 1.2: 22, 26, 34 (Mathematica help OK) to turn in at the beginning of class

**In class**

- Activity: vector equations
- Economic modeling (Lay, section 1.6)