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Orthogonal Matrices and Gram-Schmidt

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Session Overview

Figure excerpted from 'Introduction to Linear Algebra' by G.S. Strang

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

Suggested Reading

  • Read Section 4.4 in the textbook.

Problem Solving Video

  • Watch the recitation video on Gram-Schmidt Orthogonalization (00:09:59)
  • Recitation video transcript (PDF)

Check Yourself

Problems and Solutions

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

 

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