Question 4: The 3x3 matrix M is given below, in term of a constant k: k 21 M = 4 3. 2 1-2 -1 a) Show that 2ı = 1 is an eigenvalue of M for all values of k. b) Given that -2 is an eigenvector of M with corresponding eigenvalue 22 # 1, find the value of 22 and the value of k. c) Find the value of the third eigenvalue of M.

Question 4: The 3x3 matrix M is given below, in term of a constant k: k 21 M = 4 3. 2 1-2 -1 a) Show that 2ı = 1 is an eigenvalue of M for all values of k. b) Given that -2 is an eigenvector of M with corresponding eigenvalue 22 # 1, find the value of 22 and the value of k. c) Find the value of the third eigenvalue of M.

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter6: Power Flows

Section: Chapter Questions

Problem 6.21MCQ

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