(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

If v is an eigenvector of A with corresponding eigenvalue [tex]\lambda[/tex] and c is a scalar, show that v is an eigenvector of A-cI with corresponding eigenvalue [tex]\lambda[/tex]-c.

2. Relevant equations

3. The attempt at a solution

I started out thinking that I have to figure out how to go from:

Ax=[tex]\lambda[/tex]x

to

(A-cI)x=([tex]\lambda[/tex]-c)x

Is this the right start?

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# Homework Help: Basic Eigenvalue Proof

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