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Timeline for Is there such a matrix in $SO(n)$?

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Apr 2, 2014 at 20:34 comment added მამუკა ჯიბლაძე @EdenHarder Thank you very much for your effort! I think I understand my blunder now.
Apr 2, 2014 at 11:15 comment added Eden Harder @მამუკაჯიბლაძე I give an example for $n=2$ in a Mathematica file(click the link please)
Apr 2, 2014 at 8:20 comment added მამუკა ჯიბლაძე @EdenHarder Sorry seems I indeed am stupid today. $SO$ transformations preserve angles between any vectors, either normalized or not, don't they??
Apr 2, 2014 at 8:05 comment added Eden Harder @მამუკაჯიბლაძე Thanks for your comment! Note that $a'_i, b'_i$ may be un-normalized.
Apr 2, 2014 at 5:59 comment added მამუკა ჯიბლაძე Either I am completely stupid today or for any such $O$ one has angle$(a_i\to a_j)$=angle$(a_i'\to a_j')$ and angle$(b_i\to b_j)$=angle$(b_i'\to b_j')$. Then, if angle$(a_i'\to a_j')$=angle$(b_i'\to b_j')$ for every $i$ and $j$, any such $O$ will do whereas if the equality fails for at least some pair, no such $O$ exists.
Apr 2, 2014 at 2:15 history edited user25607 CC BY-SA 3.0
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Apr 2, 2014 at 1:05 review First posts
Apr 2, 2014 at 8:22
Apr 2, 2014 at 0:47 history asked user25607 CC BY-SA 3.0