Problem 3. Let
denote the set of real m x n matrices and the set of real n x 1 column vectors, respectively, and let S" denote the set of real n x n symmetric positive semidefinite (PSD) matrices. This problem includes two parts as follows:
(b) Suppose that A, X
, and Tr(A) denotes the trace of A (i.e., the sum of all the diagonal elements of A).