Let D be the following data matrix. If you were to apply MDS to D using the top two eigen values, (a) What would be the dimensions of the resulting matrix? (b) What would be the dimensions of its...

Let D be the following data matrix.

If you were to apply MDS to D using the top two eigen values,

(a) What would be the dimensions of the resulting matrix?

(b) What would be the dimensions of its Gramian Matrix? Is the dimension the same as that of the distance matrix? Why or why not?

(c) What about the dimensions of eigenvalue and eigenvector matrices used to create Y? What type of matrix is the eigenvalue matrix?