PCA is a fairly common acronym so I would like to mention this link in the discussion to provide reference to PCA in this context:
https://en.wikipedia.org/wiki/Principalcomponentanalysis
also a helpful quote from that link:
"Mathematica Implements principal component analysis with the PrincipalComponents command using both covariance and correlation methods."
@Daniel Lichtblau:
"it will be correct [with the exception of] translation and rotation/reflection."
That is exactly what I am looking for, thank you again.
Also thanks for this clarification about the accuracy of PCA, it was difficult to discern that fact from the article I read.
