Let $$A$$ be $$a$$ $$4$$ $$x$$ $$4$$ matrix with eigen values $$-5$$, $$-2, 1, 4$$.

Which of the following is an eigen value of $$\left[ {\matrix{ {\rm A} & {\rm I} \cr {\rm I} & {\rm A} \cr } } \right]$$, where $$I$$ is the $$4$$ $$x$$ $$4$$ identity matrix?

Let $$A$$ be the matrix $$\left[ {\matrix{ 3 & 1 \cr 1 & 2 \cr } } \right]$$. What is the maximum value of $${x^T}Ax$$ where the maximum is taken over all $$x$$ that are the unit eigenvectors of $$A$$?

Group-1 contains some $$CPU$$ scheduling algorithms and Group-2 contains some applications. Match entries in Group-1 to entries in Group-2.

Group-1
(P) Gang Scheduling
(Q) Rate Monotonic Scheduling
(R) Fair Share Scheduling

Group-2
(1) Guaranteed Scheduling
(2) Real-time Scheduling
(3) Thread Scheduling

Consider the following statements about user level threads and kernel level threads.

Which one of the following statements is FALSE?