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- #1

- Feb 5, 2012

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Here's a question that I don't quite understand.

What I don't understand here is what is meant by root space in the context of a linear transformation. Can somebody please explain this to me or direct me to a link where it's explained?Given \(f:\, V\rightarrow V\) and a root space \(V(\lambda)\) for \(f\), prove that \(V(\lambda)\) is invariant for \(g:,V\rightarrow V\) such that \(g\) commutes with f.