Jaypee Institute of Information Technology (JIIT) 2008 M.Tech Computer Science ALL S - Question Paper
Jaypee University of Information Technology Waknaghat , Test 3 May 2008 M. Tech. IV Sem. (IMCA) Subject Code: MA----------------------Time : 1 Hr. 30 min. Subject Name: Linear Algebra M.M.: 30
1. Show that the vectors a, =(l,0,-l), a2 =(l,2, l), a3 =(0,-3,2) form a basis for R3. Express each of the standard basis vectors as a linear combination of
(5)
(5)
(5)
2. Every n-dimensional vector space V(F) is isomorphic to Vn(F).
3. Find the dual basis of the basis set
B = {(l, -1,3), (0,1, -1), (0,3, - 2)} for V3(R).
Is the matrix
(5)
2
2
0
similar over the field R to a diagonal matrix? Is A similar over the field C to a diagonal matrix?
a) If a is a characteristic vector of T, then a cannot correspond to more than one characteristic values of T. (2.5)
b) Let T be a linear operator on a finite dimensional vector space V and let c be a characteristic value of T. Show that the characteristic space of c i.e., Wc is invariant under T. (2.5) Apply the Gram-Schmidt process to the vectors /?, = (l, 0, l), /?2 = (l, 0, -1), /?, = (0,3,4), to obtain an orthonormal basis for Vj(R) with the standard inner product. (5)
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Jaypee University of Information Technology PhD/M Tech 2nd Year(CSE/IT)
May 2008
Course Code: 07B81CI416
Time : 90 Min Test T3: Network Management Marks : 30 Note: 1. Attempt all questions
Q 1. (a) [2 marks] Differentiate between network management and system management.
(b) [3 marks] Describe the SMI in the information model of SNMPv2
Q 2. (a) [3 marks] Explain the security model for SNMPv3.
(b) [2 marks] Explain the advantages of using RMONs in the NMS.
Q 3. (a) [2 marks] Explain the MIB for management of ATM networks.
(b) [3 marks] Explain the architecture of the ADSL access network as per the ADSL Forums system reference model.
Q 4. (a) [3 marks] Explain information architecture of TMN.
(b) [2 marks] Explain commonly used traffic monitoring tools.
Q 5. (a) (2 marks] What do you understand from fault management?
(b) [3 marks] Explain important performance metrics for network management.
Q 6. (a) [3 marks] Explain Desktop Management Interface(DMI) standard as defined by Desktop Management Task Force(DMTF). (b) [2 marks] Explain network management functions.
Jaypee University of Information Technology PhD/M Tech 2nd Year(CSE/IT)
May 2008
Course Code: 07B81CI416
Time : 90 iMin Test T3: Network Management Marks : 30 Note: 1. Attempt all questions
Q 1. (a) [2 marks] Differentiate between network management and system management.
(b) [3 marks] Describe the SMI in the information model of SNMPv2
Q 2. (a) [3 marks] Explain the security model for SNMPv3.
(b) [2 marks] Explain the advantages of using RMONs in the NMS.
Q 3. (a) [2 marks] Explain the MIB for management of ATM networks.
(b) [3 marks] Explain the architecture of the ADSL access network as per the ADSL Forums system reference model.
Q 4. (a) [3 marks] Explain information architecture of TMN.
(b) [2 marks] Explain commonly used traffic monitoring tools.
Q 5. (a) [2 marks] What do you understand from fault management?
(b) [3 marks] Explain important performance metrics for network management.
Q 6. (a) [3 marks] Explain Desktop Management Interface(DMI) standard as defined by Desktop Management Task Force(DMTF).
(b) [2 marks] Explain network management functions.
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