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?

An operating system uses Shortest Remaining Time first $$(SRT)$$ process scheduling algorithm. Consider the arrival times and execution times for the following processes:

What is the total waiting time for process $$P2?$$