Unit I: Ax = b and the Four Subspaces

Matrix Spaces; Rank 1; Small World Graphs

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Session Overview

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

As we learned last session, vectors don’t have to be lists of numbers. In this session we explore important new vector spaces while practicing the skills we learned in the old ones. Then we begin the application of matrices to the study of networks.

Session Activities

Lecture Video and Summary

Suggested Reading

  • Read Section 3.3 and 8.2 in the 4th edition or Section 3.3 and 10.1 in the 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