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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 textbook.

Problem Solving Video

  • Watch the recitation video on Basis and Dimension (00:08:09)
  • 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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