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Please help me understand how to do this linear algebra proof!

  1. Apr 29, 2010 #1
    Let A be an n x n matrix with eigenvalue [tex]\lambda[/tex] . Prove that [tex]\lambda[/tex] ^2 is and eigenvalue of A^2 and that if v is an eigenvector for A, then v is also an eigenvector for A^2.
  2. jcsd
  3. Apr 29, 2010 #2


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    Staff Emeritus
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    Do you understand what it means for [itex]\lambda[/itex] to be an eigenvalue of A? Just write down what it means, and you're almost done.
  4. Apr 29, 2010 #3
    I know that Av= [tex]\lambda[/tex]v but I do not know where to go from that.
  5. Apr 29, 2010 #4


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    Staff: Mentor

    I see that you have reposted in the appropriate Homework forum.

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