Problem #5: Verify that there exists a function g: R² → R² such that ū = (u, v) = g(x) for the system 3xu²+2yv4 = 5 4xy(u² - v²) = 0 near the point (1,1,-1,-1) by calculating det(D(u, v)F(1, 1, −1, −1)) where F: R4 → R² is a CỈ function satisfying F(1, 1, −1, −1) = 0
Problem #5: Verify that there exists a function g: R² → R² such that ū = (u, v) = g(x) for the system 3xu²+2yv4 = 5 4xy(u² - v²) = 0 near the point (1,1,-1,-1) by calculating det(D(u, v)F(1, 1, −1, −1)) where F: R4 → R² is a CỈ function satisfying F(1, 1, −1, −1) = 0
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.5: Solution Of Cubic And Quartic Equations By Formulas (optional)
Problem 29E
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