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Week 5: Subspace, Basis, and Dimension, Row Column, Null Space, Rank-Nullity Theorem

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Introduces subspaces, bases, dimension, null space, column space, and row space. Explains how to find bases using row reduction, defines rank and nullity, and presents the Rank-Nullity Theorem. Shows how to determine if vectors form a basis and interpret matrices as linear transformations.

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Uploaded on
May 27, 2025
Number of pages
3
Written in
2024/2025
Type
Class notes
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Na
Contains
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ranknullity theorem nxmmatrixA then rank A dim
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nullityof A is a
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