Question: Please explain. Consider an n x p data matrix X with mean-centered data (i.e. each variable has mean zero). And suppose that we perform PCA

Please explain.

Consider an n x p data matrix X with mean-centered data (i.e. each variable has mean zero). And suppose that we perform PCA on X, obtaining principal components of the form: 2 = Xv, where v represents a generic eigenvector of (1 /'n,)XTX. Show that the mean of any principal component z is zero

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