Consider the linear system æ' = Ax, where A is a real 2 x 2 matrix with constant entries and repeated eigenvalues. Use the following information to determine A: The phase plane solution trajectories have horizontal tangents on the line a2 = 5x1 and vertical tangents on the line 21 = 0. Also, A has a nonzero repeated eigenvalue and a21 = 6. A = dx2 Hint: Consider when the parametric form of the derivatives: and 2 (t) a(t) are zero. da t r(t)
Consider the linear system æ' = Ax, where A is a real 2 x 2 matrix with constant entries and repeated eigenvalues. Use the following information to determine A: The phase plane solution trajectories have horizontal tangents on the line a2 = 5x1 and vertical tangents on the line 21 = 0. Also, A has a nonzero repeated eigenvalue and a21 = 6. A = dx2 Hint: Consider when the parametric form of the derivatives: and 2 (t) a(t) are zero. da t r(t)
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 30E
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