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If my matrix contributes eigenvalue A = 3+ 4i with corresponding eigenvector v = [i, 1]. What are the two basis solutions? O 71 = e"[- sin(3t), cos(3t)], a 2 = e"[cos(3t), sin(3t)], O71= e[– sin(4t), cos(4t)], a 2 = e"[cos(4t), sin(4t)], O 71 = e"[- sin(4t), sin(4t)], *2 = e"[cos(4t), cos(4t)],

If my matrix contributes eigenvalue A = 3+ 4i with corresponding eigenvector v = [i, 1]. What are the two basis solutions? O 71 = e"[- sin(3t), cos(3t)], a 2 = e"[cos(3t), sin(3t)], O71= e[– sin(4t), cos(4t)], a 2 = e"[cos(4t), sin(4t)], O 71 = e"[- sin(4t), sin(4t)], *2 = e"[cos(4t), cos(4t)],

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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If my matrix contributes eigenvalue A = 3+ 4i with corresponding eigenvector v = [i, 1]. What are the two basis solutions? O 71= e"[- sin(3t), cos(3t)], * 2 = e"[cos(3t), sin(3t)], 21 = el– sin(4t), cos(4t)], 2 2 = e" [cos(4t), sin(4t)], O 71= e*[- sin(4t), sin(4t)], 22 = e"[cos(4t), cos(4t)],
Transcribed Image Text:If my matrix contributes eigenvalue A = 3+ 4i with corresponding eigenvector v = [i, 1]. What are the two basis solutions? O 71= e"[- sin(3t), cos(3t)], * 2 = e"[cos(3t), sin(3t)], 21 = el– sin(4t), cos(4t)], 2 2 = e" [cos(4t), sin(4t)], O 71= e*[- sin(4t), sin(4t)], 22 = e"[cos(4t), cos(4t)],
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