- Subtracting the mean of the data from the original dataset
- Finding the covariance matrix of the dataset
- Finding the eigenvector(s) associated with the greatest eigenvalue(s)
- Projecting the original dataset on the eigenvector(s)
- Use only a certain number of the eigenvector(s)
- Do back-project to the original basis vectors

Implementation of
http://www.cs.otago.ac.nz/cosc453/student_tutorials/principal_components.pdf

"A tutorial on Principial Component Analysis"