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Topic: eigenvalues of A
Replies: 4   Last Post: Nov 4, 2009 11:25 PM

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Posts: 160
Registered: 11/29/05
Re: eigenvalues of A
Posted: Nov 4, 2009 10:48 PM
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On Nov 4, 9:56 pm, G Patel <> wrote:
> true or false.... eigenvalues of A are same as eigenvalues of kA
> (because if v is eigenvector for A, then kv is eigenvector for kA)

if c is eigenvalue of A, then Ax = cx for nonzero x, multiply both
sides by nonzero scalar k: (kA)x = c(kx) , thus c is also eigenvalue
of kA?

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