**Learning objectives**

- Produce an orthogonal basis by starting with any basis
- Express least squares problems in terms of projections

**Before class**

- Read Lay sections 6.4, 6.5
- Consult notes to the textbook (if you wish)
- Ponder Lay problems 6.4: 1, 9, 13, 17; 6.5: 1, 17.
- Post to Piazza
- Write solutions to problems 6.1: 19, 28; 6.2: 2, 10; 6.3: 2, 4, 12 to turn in at the beginning of class

**In class**

- Discuss Capstone Day and assignment
- Application of projections

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