Recommend a method for computing PXv and vTPXv. Compare its operation count to its possible competitors. Does the same method work well for (I − PX)v and vT (I − PX)v? Compute your solution to...

Recommend a method for computing PXv and vTPXv. Compare its operation count to its possible competitors. Does the same method work well for (I − PX)v and vT (I − PX)v?

Compute your solution to Exercise 5.5 (Exercise 5.2 with a quadratic model) using the sweep operator. Compute all of the partial and sequential sums of squares as well.