We have a two-dimensional feature space. The mean of the samples turns out to be [4,5]. Thecovariance matrix turns out to be [2, 0.6; 0.6, 1].

(a) Determine the principal components. Plot the principal components (eigenvectors).

(b) Find the representation of a data point [5,7] using only the first principal component.

(c) Show the actual data point and its representation on plot and calculate the Euclidean distance

between them.