For a = f, find the eigenvalues and eigenvectors of E by hand. (b) Represent the contour ellipses for a = 0; — 2; i; 1 using R. (c) For a = 2, write down the formula for the smallest region such that...

For a = f, find the eigenvalues and eigenvectors of E by hand. (b) Represent the contour ellipses for a = 0; — 2; i; 1 using R. (c) For a = 2, write down the formula for the smallest region such that there is probability of 0.9 that a randomly selected observation will be in the region. (d) Sketch the boundary of the region in part (c) using R.