Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Linear Algebra - Diagonalization question

  1. Dec 7, 2011 #1
    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?
  2. jcsd
  3. Dec 8, 2011 #2

    I like Serena

    User Avatar
    Homework Helper

    Use the distributive property of matrix multiplication?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook