I'm probably missing something very fundamental here, but I'm not sure how to project a set of 520 coordinates in a 300-dimensional space to a new basis, A, which has dimensions 300 by n, n < 300.
I know that I can define the set of points to be a matrix B, dimensions 300 by 520. Then I can calculate for the projections using the equation when n = 1:
P = ((A * A') / (A' * A)) * B.
This works because A' * A is a singular value when n = 1 and thus the division can work. Is there a simple equation to calculate the projections of the points when n href = ""</a> 1?