True or False

Justify within 2 sentences(either true or false)

(f) (2 points) Given a vector of real numbers, if a raw number in the vector is smaller than the mean, its corresponding normalized value will be negative after z-score standardization. (g) (2 points) Given any two vectors of the same length, the L2 distance between them is always smaller than or equal to the L1 distance between them. (h) The covariance matrix (of one random vector) has square shape. (i) (2 points) Let p and q be two different distributions. The KL divergence between p and q is the same as the KL divergence between q and p. (j) (2 points) Principal Component Analysis (PCA) can generate new features