Box answer Question 4 (Matrix exponential method)Question 4. LetA == (³½³).3 143(i) Find ezA.(ii) Find the general solution of the system below using the matrix exponential method.37-(11)(iii) Solve the initial value problemy3437.= (³ ³) 7. y(0) = ( 2 )3

Given that, A=(3413)Step 1 : To compute eAt We know that,…

Answered: Question 4 (Matrix exponential method)…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter2: Matrices

Section2.5: Markov Chain

Problem 45E: Epidemic Model In a population of 200,000 people, 40,000 are infected with a virus. After a person...

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Epidemic Model In a population of 200,000 people, 40,000 are infected with a virus. After a person becomes infected and then recovers, the person is immune cannot become infected again. Of the people who are infected, 5 will die each year and the other will recover. Of the people who have never been infected, 25 will become infected each year. How many people will be infected in 4 years?
3. Solve the system by using the matrix exponential -2 3 *-*-*-] x' = x (2) -1 2 4
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Question 4 (Matrix exponential method) Question 4. Let A = = (³½³). 3 1 43 (i) Find ezA. (ii) Find the general solution of the system below using the matrix exponential method. 3 7-(11) (iii) Solve the initial value problem y 3 43 7. = (³ ³) 7. y(0) = ( 2 ) 3