Solution Found!
Calculate etA and use your answer to solve dx dt = Ax, x(0) = x0. a. A = _ 1 5 2 4 _
Chapter 7, Problem 1(choose chapter or problem)
QUESTION:
Calculate etA and use your answer to solve dx dt = Ax, x(0) = x0. a. A = _ 1 5 2 4 _ , x0 = _ 6 1 _ b. A = _ 0 1 1 0 _ , x0 = _ 1 3 _ c. A = _ 1 3 3 1 _ , x0 = _ 5 1 _ d. A = _ 1 1 1 3 _ , x0 = _ 2 1 _ e. A = 1 1 2 1 2 1 2 1 1 , x0 = 2 0 4 f. A = 1 2 2 1 0 1 0 2 1 , x0 = 3 1 4
Questions & Answers
QUESTION:
Calculate etA and use your answer to solve dx dt = Ax, x(0) = x0. a. A = _ 1 5 2 4 _ , x0 = _ 6 1 _ b. A = _ 0 1 1 0 _ , x0 = _ 1 3 _ c. A = _ 1 3 3 1 _ , x0 = _ 5 1 _ d. A = _ 1 1 1 3 _ , x0 = _ 2 1 _ e. A = 1 1 2 1 2 1 2 1 1 , x0 = 2 0 4 f. A = 1 2 2 1 0 1 0 2 1 , x0 = 3 1 4
ANSWER:Step 1 of 7
(a)
The given matrix is .
Calculate by using definition of matrix exponential, .