Q9:- If x = f(u, v) and y = g(u, v), where u = P(r,s) and va(x,y)(r, s). Prove thata(x,y) a(u,v)a(r,s)a(u,v) a(r.s) by using Jacobian determinant.

Answered: Image /qna-images/answer/f0ebd0d9-a1fa-4380-b398-ae24ae24f637.jpg

Answered: Q9:- If x f(u, v) and y g(u, v), where…

Q9:- If x f(u, v) and y g(u, v), where u = (r, s) and v = (r, s). Prove that a(x.y) a(r,s) a(x.y) a(u,v) (s'4)e (a'n)e , by using Jacobian determinant.

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter11: Systems Of Equations

Section11.4: Determinants

Problem 45PS

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Question

Q9:- If x = f(u, v) and y = g(u, v), where u = P(r,s) and v
a(x,y)
(r, s). Prove that
a(x,y) a(u,v)
a(r,s)
a(u,v) a(r.s) by using Jacobian determinant.

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