**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
- Please write an essay containing one page for each of two capstone talks that you attended on Wednesday.

**In class**

- Turn in essay on capstone talks.
- Problems on symmetric matrices
- Application to physics of springs

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