Linear Algebra: Dimension of the Null Space and Rank

 
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More Lessons for Linear Algebra

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A series of linear algebra lectures given in videos.

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