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seen Sep 13 '13 at 21:06

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Jan
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awarded  Popular Question
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5
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awarded  Popular Question
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Mar
10
revised Graph of a matrix and a positive power for the the matrix
improved formatting
Mar
10
asked Graph of a matrix and a positive power for the the matrix
Mar
1
awarded  Popular Question
Jan
7
comment Simplicity of eigenvalue
YES. \=D/ .. THANKS.
Jan
7
revised Simplicity of eigenvalue
improved formatting
Jan
7
comment Simplicity of eigenvalue
I wanted to know that if $(1+ \lambda)^m$ is a simple eigenvalue of $(I+A)^m,$ then $ \lambda$ is a simple eigenvalue of $A$ which you did show using a contrapositive argument, that is, if $ \lambda$ is repeated eigenvalue of $A, (1+ \lambda)^m$ is repeated eigenvalue of $(I+A)^m.$
Jan
6
comment Simplicity of eigenvalue
Great! could you explain a contradiction with what?
Jan
5
accepted Simplicity of eigenvalue
Jan
5
revised Simplicity of eigenvalue
improved formatting
Jan
5
revised Simplicity of eigenvalue
improved formatting
Jan
5
comment Simplicity of eigenvalue
My understanding is that the implication, mentioned in the first line, shows that the geometric multiplicity of $p( \lambda)$ is at least the geometric multiplicity of $ \lambda.$ But simple eigenvalue is defined by the algebraic multiplicity, so how could we get the consequence that if $p( \lambda)$ is a simple, $\lambda$ must also be simple?
Jan
5
asked Simplicity of eigenvalue
Dec
19
revised Some facts about matrix norm
improved formatting