Let R^n={(a1,a2,....,an)| a_i in R}. Show that the mapping phi : (a1,a2,...,an) -> (-a1,-a2,....,-an) is an automorphism of the group R^n.

under component wise addition.

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- October 16th 2008, 07:35 PM #1

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- October 16th 2008, 08:15 PM #2

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