Answered: (c) x': ·(3 = 2₂). x, x(0) = [1,0]T 9 5… | bartleby

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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c) please

2. For the following systems with distinct real eigenvalues, find the general solutions:
(a) x' = x + 2y,
y' = 2x + y
(b) x' = 6x
6x7y, y'= x - 2y
9
- (1/6 5₂ ) x₁, x(0) = [1,015
X,
-6 -2
(c) x' =

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Consider the linear system a. Find the eigenvalues and eigenvectors for the coefficient matrix. (-3+i) A₁ = 1 , vi b. Find the real-valued solution to the initial value problem [{ and A₂ = -3y1 - 2/2, 591 +33/2, Use t as the independent variable in your answers. vi(t) =(5-5/2i)e^(-it)(-3/5-1/5)+(5+5/2i)e^(it)(-3/5+i/5) 32(t)= (5-5/2)^(-it)+(5+5/2)^(it) 4 vo = 3/1 (0) = 6, 3/2 (0) = -5. (-3-1)/
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The options for a and b are just can or can't be a solution.

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