May not be only rotation, maybe rotation, flipping etc, just a orthogonal/orthonormal transformation matrix
On Sat, May 8, 2010 at 9:19 AM, Afroz Mohiuddin <afrozena...@gmail.com>wrote: > I have a set of n-dimensional vectors, lets say, v1, v2, v3, ... vm > > <vi, vj> means the dot product of vi and vj. > > It is known that <vi, vj> >= 0 forall i, j .... i.e. the angle between any > two of them is less equal to 90 degrees, which basically means that all of > them can be occupied in a single quadrant in the n-dimensional space. > Because in any quadrant, the maximum angle between two vectors both lying > inside the quadrant is 90 degrees. > > Can you come up with a orthonormal transformation U, such that Uvi >= 0 ... > i.e. an orthonormal transformation (rotation basically, i want the rotation > matrix U), such that all those vectors come in the positive quadrant. > > There will always exist such a matrix U because all the angles are less > than 90degrees, can you get a way to find one of them. > > > -- > We are here on earth to do good for others. What the others are here for, I > don't know. > > Afroz Mohiuddin > > -- We are here on earth to do good for others. What the others are here for, I don't know. Afroz Mohiuddin -- You received this message because you are subscribed to the Google Groups "Algorithm Geeks" group. To post to this group, send email to algoge...@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/algogeeks?hl=en.
