Ee263 the first constraint says that the x-coordinates have unit variance, while the second constraint says that the y-coordinates have unit variance; the third constraint says that the x-coordinates and y-coordinates are uncorrelated. even with all of these additional constraints, there is still not a unique set of coordinates that minimize j. for example, if x and y are some set of coordinates satisfying the constraints, and q ∈ r 2×2 is orthogonal, then ? x˜i y˜i ? = q ? xi yi ? , i = 1, . . , n is another set of coordinates that also satisfies the constraints, and achieves the same value of j. intuitively, we can rotate or reflect any set of coordinates to obtain another set of coordinates that is just as good. we will live with this ambiguity. explain how to find coordinates x and y that minimize j subject to the centering and spreading constraints