consider the ellipsoid { rd xs- in ( let ud ube an svd of show that the linear transformation ud- maps the points on onto the unit sphere { rd kzk figure shows how the centered "surfboarddata are projected onto the first column of the principal component matrix suppose we project the data instead onto the plane spanned by the first two columns of what are and in the representation ax bx of this plane figure suggests that we can assign each feature vector in the iris data set to one of two clustersbased on the value of > xwhere is the first principal component plot the sepal lengths against petal lengths and color the points for which > to which species of iris do these clusters correspond