Difference between revisions of "Rank-nullity theorem"

Latest revision as of 14:35, July 28, 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.

Revision as of 05:13, May 9, 2010 (view source) Aschlafly (talk \| contribs) (better link) ← Older edit		Latest revision as of 14:35, July 28, 2016 (view source) DavidB4-bot (talk \| contribs) (→‎top: Category)
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	This sometimes called the fundamental theorem of linear algebra.		This sometimes called the fundamental theorem of linear algebra.

−	[[Category:~~linear algebra~~]]	+	[[Category:Linear Algebra]]