18.06SC | Fall 2011 | Undergraduate

Linear Algebra

Unit I: Ax = b and the Four Subspaces

Independence, Basis and Dimension

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Session Overview

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

A basis is a set of vectors, as few as possible, whose combinations produce all vectors in the space. The number of basis vectors for a space equals the dimension of that space.

Session Activities

Lecture Video and Summary

Suggested Reading

  • Read Section 3.5 in the 4th edition or Section 3.4 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

Departments
As Taught In
Fall 2011
Learning Resource Types
Lecture Videos
Exams with Solutions
Lecture Notes
Recitation Videos
Problem Sets with Solutions
Simulations
Course Introduction
Instructor Insights