I am as a beginner I want to know is there any relation between eigenvalue and rank of a square matrix Please help.
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1Yes, see for example here, or here etc. The question is perhaps too broad. There are many possible answers (too many). – Dietrich Burde Jan 28 '17 at 17:09
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The kernel of a matrix is the same as the $0$-eigenspace.
The rank of an $m\times n$ matrix is $m$ minus the dimension of kernel.
Asinomás
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