Is There a Simple Proof of the Nullity - Rank Theorem?

matqkks · Feb 6, 2012

Is there a short and simple proof of the Nullity - Rank Theorem which claims that if T: U->V is a linear transformation then rank(T)+Nullity(T)=n where n is the n dimension vector space U.

chiro · Feb 6, 2012

Hey matqkks.

Have you checked the wikipedia page?

http://en.wikipedia.org/wiki/Rank–nullity_theorem

The second proof on that page looks ok. Hopefully it should answer your question.

Is There a Simple Proof of the Nullity - Rank Theorem?

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