6.6Member

6.6 Column space, row space, and rank

Use row reduction and basis ideas together to read column space, row space, and rank without confusing what row operations actually preserve.

Course contents

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Prerequisites

2.3

2.3 Gaussian elimination and RREF

3.3

3.3 Transpose, symmetric, and skew-symmetric matrices

6.5

6.5 Basis and dimension

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6.5 Basis and dimension

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6.7 Matrix subspaces, basis, and dimension