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.
Lecture Video and Summary
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Independence, Basis and Dimension (00:50:14)
Independence, Basis and Dimension
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- Lecture video transcript (PDF)
- Read Section 3.5 in the 4th edition or Section 3.4 in the 5th edition.
Problem Solving Video
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Basis and Dimension (00:08:09)
Basis and Dimension
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Problems and Solutions
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