題組內容

3. (20%) Give a full rank matrix
61cbbb6f2cfe0.jpg

and H =61cbbb9e5a02a.jpg is the inverse of A.

(b) (10%) Find the eigenvalue for I - H. In addition, verify I -'H is positive semi-deinite and
trace[I - H] = rank[I -H]
where I is the identity matrix.