Difference between revisions of "Rank-nullity theorem"

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This sometimes called the fundamental theorem of linear algebra.
 
This sometimes called the fundamental theorem of linear algebra.
  
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[[Category:Linear algebra]]

Revision as of 18:10, July 13, 2016

The rank-nullity theorem states that for any n x m matrix A:

(rank of A) + (nullity of A) = m

Using the concept of dimension, the above formula can be rewritten as:

dim(kernel A) + dim(image A) = m

This sometimes called the fundamental theorem of linear algebra.

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