(a) Determine the characteristic equation and eigenvalues A in the system(³) () - ^ ().= A(b) Show that the vectors a = 7+37+5k, 6=-27+47-6k and = -37+7-11kare coplanar.

(a) λ is an eigen value of a matrix A if AX=λXorA-λIX=0or A-λI=0 for X≠0 A-λI=0 is called the…

Answered: (a) Determine the characteristic…

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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(a) Determine the characteristic equation and eigenvalues in the system 3 (³) () - ^ (). -1 5 = 1 (b) Show that the vectors a = 7+33 +5k, b = -27+47-6k and = -37+7-11k are coplanar.