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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

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    Homework Helper

    Use the distributive property of matrix multiplication?
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