Unit II: Least Squares, Determinants and Eigenvalues

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 4th or 5th edition.

Problem Solving Video

Check Yourself

Problems and Solutions

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

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Course Info

Learning Resource Types

theaters Lecture Videos
grading Exams with Solutions
notes Lecture Notes
theaters Recitation Videos
assignment_turned_in Problem Sets with Solutions
laptop_windows Simulations
groups Course Introduction
co_present Instructor Insights