this is exam revision not homework so feal free to help(adsbygoogle = window.adsbygoogle || []).push({});

let lamda be an eigenvalue of T, and let P be a polynomial with coefficients in F, define the linear mapping S=p(T) and show that p(lamda) is an eigenvalue of S

i know that an eigenvalue of T is a elementvnot=0 such that T(v)=lamda v for some lamda in the field, and that the scalar lamda here is the eigenvalue, however i dont understand this question at all

so lamda is our eigenvalue meaning there must be a corresponding eigenvector v not equal to zero but whats p and what does this mapping show? please help

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: What does this mean?

**Physics Forums | Science Articles, Homework Help, Discussion**