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I read the article from wiki about triangular matrix, it says "A matrix which is conjugate to a triangular matrix is called triangularizable." I do not quite understand: isn't any triangularizable matrix still a triangular matrix, since the conjugate of any triangular matrix is still triangular?

This "conjugate" means "similar to" or something else, or it does not say anything non-trivial here?

Thanks.

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    I don't think triangularizable matricies have to be triangular. For instance, diaginal matricies are triangular so any diagonalizable matrix is triangularizable.2011-04-22
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    "Conjugate" means "similar to" in this context. http://en.wikipedia.org/wiki/Similar_matrix2011-04-22
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    @Jonas, ah! This "conjugate" terminology means always "transposition"-related to me. It is quite confusing here. :)2011-04-22
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    The link is really confusing!2011-04-22

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