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Verify that there exists a function g: R² → R² such that u = (u,v) = g(x) for the system S4xu² + 5yv² = 9 3xy(u² - v²) = 0 near the point (1,1,-1,-1) by calculating det(D(u, v)F(1,1,-1,-1)) where F: R4 satisfying F(1,1,-1,-1) = 0 →>>> R2 is a C¹ function

Verify that there exists a function g: R² → R² such that u = (u,v) = g(x) for the system S4xu² + 5yv² = 9 3xy(u² - v²) = 0 near the point (1,1,-1,-1) by calculating det(D(u, v)F(1,1,-1,-1)) where F: R4 satisfying F(1,1,-1,-1) = 0 →>>> R2 is a C¹ function

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 25CM: Find a basis B for R3 such that the matrix for the linear transformation T:R3R3,...
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Verify that there exists a function g: R² → R² such that u = (u,v) = g(x) for the system S4xu² + 5yv² = 9 3xy(u² - v²) = 0 near the point (1,1,-1,-1) by calculating det(D(u, v)F(1,1,-1,-1)) where F: R4 satisfying F(1,1,-1,-1) = 0 →>>> R2 is a C¹ function
Transcribed Image Text:Verify that there exists a function g: R² → R² such that u = (u,v) = g(x) for the system S4xu² + 5yv² = 9 3xy(u² - v²) = 0 near the point (1,1,-1,-1) by calculating det(D(u, v)F(1,1,-1,-1)) where F: R4 satisfying F(1,1,-1,-1) = 0 →>>> R2 is a C¹ function
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