(c) Let ( ) (In(2) A = In(2) mie). B - i. For a positive real number r compute eA and eB. Explain all steps and show your working. ii. Given square matrices C, D, when is it true that eC+D = eCeD? iii. Comment on the stability of the origin for y = Ay and y' = By with A and B as given at the start of this question. iv. Are there complex matrices A and B such that e = A and eB = B? (You are not asked to compute these matrices, if they exist, but please explain the reason for your answer!)
(c) Let ( ) (In(2) A = In(2) mie). B - i. For a positive real number r compute eA and eB. Explain all steps and show your working. ii. Given square matrices C, D, when is it true that eC+D = eCeD? iii. Comment on the stability of the origin for y = Ay and y' = By with A and B as given at the start of this question. iv. Are there complex matrices A and B such that e = A and eB = B? (You are not asked to compute these matrices, if they exist, but please explain the reason for your answer!)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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