15. Who designates the process for transferring command?A. The Command Staff B. The jurisdiction or organization with primary responsibility for the incident C. The Section Chiefs D. The Incident Commander for previous operational period16. Which ICS functional area tracks resources, collects and analyzes information, and maintains documentation?A. Finance/Administration B. Logistics C. Planning D. Operations17. Which item is included in the NIMS Management Characteristic of Accountability?A. Check-In/Check-Out of incident personnel B. Conduct briefings as part of transfer of command C. Maintain an accurate inventory of resources D. Establish specific, measurable objectives18. How many NIMS Management Characteristics are there?A. 12 B. 13 C. 14 D. 1519. Check-in, Incident Action Planning, Personal Responsibility, and Resource Tracking are all necessary to ensure:A. Redundancy B. Sustainability C. Flexibility D. Accountability

Q4: Given the matrix \( A=\left(\begin{array}{ccc}7 & -2 & 1 \\ -2 & 10 & -2 \\ 1 & -2 & 3\end{array}\right) \) Where \( X 1=\left(\begin{array}{c}0 \\ 0.5 \\ 1\end{array}\right) \quad, X 2=\left(\begin{array}{c}0 \\ 0.5 \\ 1\end{array}\right), X 3=\left(\begin{array}{c}1 \\ -2 \\ 1\end{array}\right) \) Find: 1) the rank of \( A \) ? 2) the eigen values and eigen vectors? 3) satisfy \( P^{\prime} / A P=\operatorname{Diag}\left(\begin{array}{lll}\lambda_{1} & \lambda_{2} & \lambda_{3}\end{array}\right) \) or \( N o \) ?

(xii) Costs in objective function in phase 2 of two phase method are (a) Actual coefficients (b) Zero (c) -1 (d) None of these (xiii) The right hand side constant of a constreintin a primal problem appears in the corresponding dual as : (a) A coefficient in the objective function (b) A right-hand side constant of a constraint in a (c) An input-output coefficient (d) None of these

Which of the following is not correct? (a) Duality does not play any role in the post - opti mal analysis of on LPP. (b) The optimum simplex table provides informa tion about the status and worth of the resources in addition to the optimum values of the decision variables. (c) In the optimum solution of a profit maximization LPp, the total (optimum) profit must be equal to the total wortiof the resources. (d) To write the dual problem, it is necessary that its primal LPP must have all its variables as greater than or equal to zero.

15. (a) (i) Let \( \quad(L, \leq) \quad \) be a lattice. For any \( a, b \in L \), \( a \leq b \Leftrightarrow a \wedge b=a \Leftrightarrow a \vee b=b \).

4. If \( \quad\left[\begin{array}{cccccc}0 & 0 & -3 & -2 & 0 & 5 \\ -2 & 3 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & -2 & 0 & 0 \\ 1 & -2 & 3 & 0 & 0 & 0 \\ -2 & 8 & 3 & 6 & 2 & 7 \\ 0 & 2 & 3 & 0 & 0 & 0\end{array}\right] \operatorname{compute} \operatorname{det}(A),(\operatorname{adj}(A))^{-1} \) and \( \operatorname{det}(\operatorname{adj}(A)) \)