Suppose that a 2 x 2 matrix A with real entries has an eigenvalue X = 1 + 3i with corresponding 4-i eigenvector 1+2i Which of the following is NOT a solution of the linear system y' = Ay? y(t) = et y(t) = et y(t) = et [4 cos(3t) - sin(3t) cos(3t) + 2 sin(3t). [4 cos(3t) + sin(3t) cos(3t) - 2 sin(3t) y(t) = e² [ et cos(3t) + 4 sin(3t) 2 cos(3t) + sin(3t) cos(3t) - 4 sin(3t) -2 cos(3t) — sin(3t).
Suppose that a 2 x 2 matrix A with real entries has an eigenvalue X = 1 + 3i with corresponding 4-i eigenvector 1+2i Which of the following is NOT a solution of the linear system y' = Ay? y(t) = et y(t) = et y(t) = et [4 cos(3t) - sin(3t) cos(3t) + 2 sin(3t). [4 cos(3t) + sin(3t) cos(3t) - 2 sin(3t) y(t) = e² [ et cos(3t) + 4 sin(3t) 2 cos(3t) + sin(3t) cos(3t) - 4 sin(3t) -2 cos(3t) — sin(3t).
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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