**Learning objectives**

- Work with the special properties of eigenvectors and eigenvalues of symmetric matrices (spectral theorem)

**Before class**

- Read Lay section 7.1
- Consult notes to the textbook (if you wish)
- Ponder Lay problems 7.1: 1, 3, 7, 9, 17, 25 , 27.
- Post to Piazza
- Write solutions to problems 6.2:12, 14 and 6.3:12 to turn in at the beginning of class.

**In class**

- Problems on symmetric matrices
- Application to physics of springs