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

Suppose A = SΛS[itex]^{-1}[/itex]. What is the eigenvalue matrix for A + 2I? What is the eigenvector matrix? Check that A + 2I = ()()()[itex]^{-1}[/itex].

3. The attempt at a solution

I think I'm pretty close I'm just not sure what to do next:

A + 2I = SΛS[itex]^{-1}[/itex] + 2I

= SΛS[itex]^{-1}[/itex] + 2SS[itex]^{-1}[/itex]

??? now what?

**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: Linear Algebra - Diagonalization question

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