I have no experience with data analysis but a data analysis project was offered to me in the past by one of my math professors. It would have been a PCA project, where PCA means "Principle Component Analysis" -- equivalent to the "singular value decomposition" in linear algebra.
It was a biology data set.
My question is: would a biologist professor use this data set in some different way? If yes, then in what ways other than something linear algebraic?
What would / could a statistics professor do with this biology data set that would be different from what a mathematician and biologist does with it?