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[5 A -1 3 1 (a) Write down the general solution of the system da = Aã. (b) Say whether or not we have lim (t) t 00 O for the general solution (t) you found in (a) (meaning for all possible initial conditions), and explain briefly. (c) Consider the statement "As t grows without bound, the solution (t) will be mostly along th span of the vector 7." Say what ở is, and explain briefly. (d) Find the unique solution with initial condition (0) =

[5 A -1 3 1 (a) Write down the general solution of the system da = Aã. (b) Say whether or not we have lim (t) t 00 O for the general solution (t) you found in (a) (meaning for all possible initial conditions), and explain briefly. (c) Consider the statement "As t grows without bound, the solution (t) will be mostly along th span of the vector 7." Say what ở is, and explain briefly. (d) Find the unique solution with initial condition (0) =

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 31E
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- A = 1 (a) Write down the general solution of the system = A. dt (b) Say whether or not we have lim 7(t) = Ở for the general solution 7(t) you found in (a) (meaning: for all possible initial conditions), and explain briefly. (c) Consider the statement “As t grows without bound, the solution (t) will be mostly along the span of the vector J." Say what ở is, and explain briefly. (d) Find the unique solution with initial condition 7(0) = | 3
Transcribed Image Text:- A = 1 (a) Write down the general solution of the system = A. dt (b) Say whether or not we have lim 7(t) = Ở for the general solution 7(t) you found in (a) (meaning: for all possible initial conditions), and explain briefly. (c) Consider the statement “As t grows without bound, the solution (t) will be mostly along the span of the vector J." Say what ở is, and explain briefly. (d) Find the unique solution with initial condition 7(0) = | 3
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