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Decide the stability of u 0 = Au for the following matrices: (a) A = " 2 3 4 5# . (b) A
Chapter 5, Problem 5.4.9(choose chapter or problem)
QUESTION:
Decide the stability of u 0 = Au for the following matrices: (a) A = " 2 3 4 5# . (b) A = " 1 2 3 1 # . (c) A = " 1 1 1 2 # . (d) A = " 1 1 1 1 #
Questions & Answers
QUESTION:
Decide the stability of u 0 = Au for the following matrices: (a) A = " 2 3 4 5# . (b) A = " 1 2 3 1 # . (c) A = " 1 1 1 2 # . (d) A = " 1 1 1 1 #
ANSWER:Step 1 of 4
(a) It is given that .
Find the eigenvalues as:
Since the obtained eigenvalues are different in signs so is a saddle point and unstable.