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Re:Change of basis in Linear Algebra by j2kun on Thursday July 23, 2015 @04:35PM (#9938327)
> rotate your coordinate system, maintaining perpendicular-ness and vector length

Not necessary for every change of basis.

Re:Change of basis in Linear Algebra by cygnus_a on Thursday July 23, 2015 @04:58PM (#9938475)
Yes, it has to be a normalized orthogonal basis to maintain those properties :)