An assignment within my linear algebra class has us work on the basics of a facial recognition program.
One of the questions within the assignment defines a correlation matrix as 𝑪= 1/q(𝑴𝑴^T), where M is a previously defined matrix of size m x q.
It then asks for the relationship between eigenvalues and eigenvectors of 𝑪 and those of 𝑫=1/q𝑴^T𝑴.
I'm not exactly sure how to proceed with this question. I don't see a way to rewrite the equation represent the eigenvalues of C in terms of D or vice versa. I know that C will have m eigenvalues while D will have q eigenvalues, I just don't see how any more information can be obtained.
Thanks for any help.