3.10. When the generalized variance is zero, it is the columns of the mean corrected data matrix X. = X - 17' that are linearly dependent, not necessarily those of the data matrix itself. Given the data W 6 4 6 4 2 2 7 3 UJ 4 (a) Obtain the mean corrected data matrix, and verify that the columns are linearly dependent. Specify an a' = [a1, a2, a3] vector that establishes the dependence. . (b) Obtain the sample covariance matrix S, and verify that the generalized variance is Zero. (c) Show that the columns of the data matrix are linearly independent in this case