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

  • Thread starter soc4ward14
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  • #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.
 

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  • #2
Fredrik
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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.
 
  • #3
I know that Av= [tex]\lambda[/tex]v but I do not know where to go from that.
 
  • #4
Evo
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I see that you have reposted in the appropriate Homework forum.

Thanks!
 

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