Past exam of the mathematical and Computational Biology course of the University of Cambridge / 2025 / Paper 1 / 3 / g

After subtracting the same training sample mean, E has vector $e=(1,-1,0{)}^{\mathsf{T}}$ and principal component scores $(0,\sqrt{2})$. The difference from D lies entirely along the first principal component. Its Euclidean distance in the retained plane isThe new point must use the original centring and loadings; recomputing them with E included would change the question.