This problem applies a PCA to the data given in Table 9.7. (a) Find the normalized data set using the -norm normalization (which is the same one used for the word length example). (b) Find the SVD for...

This problem applies a PCA to the data given in Table 9.7.

(a) Find the normalized data set using the
-norm normalization (which is the same one used for the word length example).

(b) Find the SVD for the normalized data matrix from part (a).

(c) Suppose
 = 2.5. What do you predict the values are for
 and
?

(d) Suppose
 = 2.5 and
 = 0.5. What do you predict the value is for
?