Exercise 2 The algorithm to produce several principal components (shown at the last page of the slide) depends on the update of dataset X to X' as follows: X' := {r rAA" | 1 X} where X is an M x N-matrix for the number M of data points and the number N of features, and A is a parameter (weight) column vector of the size N for computing principal components on X. Confirm A is no informative on X' by proving x'A equivalent to 0 for each z' E X