### Session Overview

Many calculations become simpler when performed using orthonormal vectors or othogonal matrices. In this session, we learn a procedure for converting any basis to an orthonormal one. |

### Session Activities

#### Lecture Video and Summary

- Watch the video lecture Lecture 17: Orthogonal Matrices and Gram-Schmidt
- Read the accompanying lecture summary (PDF)
- Lecture video transcript (PDF)

#### Suggested Reading

- Read Section 4.4 in the 4
^{th}or 5^{th}edition.

#### Problem Solving Video

- Watch the recitation video on Problem Solving: Gram-Schmidt Orthogonalization
- Recitation video transcript (PDF)

### Check Yourself

#### Problems and Solutions

Work the problems on your own and check your answers when you’re done.