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Independence, Basis and Dimension

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Session Overview

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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 Features

assignment_turned_in Assignments - problem sets with solutions
assignment_turned_in Assignments - problem sets with solutions
grading Exams - Solutions
laptop_windows Interactive simulations - Applet
groups AV faculty introductions
list Resource Index
record_voice_over Instructor Insights