The correct answer is: A. PCA
PCA is a deterministic algorithm because it always produces the same output for the same input. This is because PCA is a linear transformation, and linear transformations are always deterministic.
K-means is not a deterministic algorithm because it can produce different outputs for the same input, depending on the initial cluster centers. This is because k-means is an iterative algorithm, and the initial cluster centers can affect the final clustering results.
Both A and B is not the correct answer because PCA is a deterministic algorithm, but k-means is not.
None of these is not the correct answer because PCA is an example of a deterministic algorithm.