Yes, the Big Five were found by factor analysis, generally the PCA, which is basically an eigenvalue (spectral) decomposition of the (symmetric positive definite) covariance matrix of the data, which coincides with the SVD of the (normalised) data matrix.
The SVD is everywhere. IIRC, the first Netflix price was one won with the SVD:
https://en.wikipedia.org/wiki/Netflix_Prize
https://cseweb.ucsd.edu/classes/fa17/cse291-b/reading/Progre...
Re:The big six matrix factorizations
by jetbooster on Wednesday May 18, 2022 @01:08PM
(#31425163)
And then sell it to the Big Four!
https://en.wikipedia.org/wiki/Big_Five_personality_traits