# Eigen value and rank of a matrix [duplicate]

I am as a beginner I want to know is there any relation between eigenvalue and rank of a square matrix Please help.

## marked as duplicate by suomynonA, Dietrich Burde, астон вілла олоф мэллбэрг, Shailesh, LeucippusJan 31 '17 at 4:22

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.