Greg Ashton
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 Aug5 comment Calculation of rotation matrix given two vectors breaks when inverting matrix @Muphrid My mistake, sorry. So the non-invertibility is due to A not being uniquely defined? If this is the case surely you cannot then use least-squares fitting and the Wolfram page is wrong? Aug5 comment Calculation of rotation matrix given two vectors breaks when inverting matrix @Muphrid I do not need to do the least squares fit only find A. I am not using one vector, I have $x'$ the rotated vector, and $x$ the original. The rotation matrix is composed of 3 angles so in theory we have enough information, but perhaps not to specify just A? Aug5 comment Calculation of rotation matrix given two vectors breaks when inverting matrix @Muphrid I don't think that is the case, they simply say "Writing the arrays of vectors as matrices gives" by which I thought they meant they simply considered them as 3x1 matrices? Anthony: I am not sure, perhaps I am confused as to the meaning of $\boldsymbol{x}$ but I don't think it is diagonal. I'm happy to be told I am wrong. Aug5 awarded Editor Aug5 revised Calculation of rotation matrix given two vectors breaks when inverting matrix added 626 characters in body Aug5 asked Calculation of rotation matrix given two vectors breaks when inverting matrix Jul22 awarded Scholar Jul22 awarded Supporter Jul22 comment Ideas about a transformation matrix Fantastic thanks for that Jul22 accepted Ideas about a transformation matrix Jul22 asked Ideas about a transformation matrix