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 Post subject: Re: Does every element have a square root problemPosted: Mon, 30 Jan 2012 16:12:21 UTC
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 Post subject: Re: Does every element have a square root problemPosted: Mon, 30 Jan 2012 19:22:40 UTC
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Justin wrote:
To original poster: Ignore my example, it doesn't work...although I do remember something from linear algebra about not every square matrix having a square root. I think that result is much harder than the problem intended.

Here is how complicated it can get with matrices: http://en.wikipedia.org/wiki/Square_root_of_a_matrix

Justin: if you want a matrix (over say) without a square root, just get one with a negative determinant like .

Makes sense...so my original idea was not wrong then. Thanks!

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"Mathematicians are like lovers. Grant a mathematician the least principle, and he will draw from it a consequence which you must also grant him, and from this consequence another." Bernard Le Bovier Fontenelle (1657-1757)

"In great mathematics there is a very high degree of unexpectedness, combined with inevitability and economy."
G.H. Hardy (1877-1947)

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