Question

3. EIGENVALUE AND EIGENVECTOR BASICS Select at most one of the following problems. You may use the rest of this page and the back of this sheet NOTE: No points will be earned if you do not justify your statements. (1) (10 points) A projection operator T is one that satisfies the equation (2) (15 points) Discuss the validity of the following statement. If x and y T2 -T. What are the possible eigenvalues of T? are eigenvectors of a transformation T corresponding to distinct eigen values, then x +y is also an eigenvector

Answer 1

Sol-e 9 Gme dr ( , 13 al len cscanne Camscanner

el Clalm no or Dcot kamK eigen Love do ditihe- eigen ts n een eekop ' CSi scanned with CamScanner