Sahin Sk posted an Question
October 28, 2021 • 11:27 am 30 points
  • IIT JAM
  • Mathematics (MA)

9. let m(t) be the fundamental matrix solution of the system of differential equations i = a(t):x. then prove (liouville's formula) that det(m(t)) = det(m(0))ej

9. Let M(t) be the fundamental matrix solution of the system of differential equations i = A(t):x. Then prove (Liouville's formula) that det(M(t)) = det(M(0))eJs tr(A()ds

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