# What is the meaning of the eigenvectors of a mutual information matrix?

When looking at the eigenvectors of the covariance matrix, we get the directions of maximum variance (the first eigenvector is the direction in which the data varies the most, etc.); this is called principal component analysis (PCA).

I was wondering what it would mean to look at the eigenvectors/values of the mutual information matrix, would they point in the direction of maximum entropy?