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Linear Algebra: Dimension of the Null Space and Rank

A series of linear algebra lectures given in videos by Khan Academy.

 

 

Dimension of the Null Space or Nullity

 

 

Dimension of the Column Space or Rank

 

 

Showing relation between basis cols and pivot cols
Showing that linear independence of pivot columns implies linear independence of the corresponding columns in the original equation

 

 

Showing that the candidate basis does span C(A)
Showing that just the columns of A associated with the pivot columns of rref(A) do indeed span C(A).

A more formal understanding of functions

 

 

 

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