For some of my homework exercises, the lecturer has specified the values for a kernel of a square matrix minus the scalar product of the eigenvector and the identity matrix.(adsbygoogle = window.adsbygoogle || []).push({});

Mathematically, I am given

kernel(A - λI) = some integer value where A is a nxn square matrix

lambda is the eigenvalue obtained from the characteristic polynomial

I is the identity matrix

My question is, what is the logical and mathematical connection between kernel(A - λI) and finding the equivalent jordan block ?

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# Jordan blocks + kernels

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