Consider the system...Fosys= x=y+1=0£g(x,y) = y=x²-1=0For X₁₂₁₂= 1.1 and 4₁ = 2.1, we haveDon't round offF₂₁ (x₁₁4₁₂₁₂) =Fy (α₁, 4₁) =9x (2₂₁, 4₁)=gy (x₁, y₁) =System (1) has a solution near the point (x₁, y₁)(1.1, 2.1). Taking the initial approximationsX₁ = 1.1 and y₁=2.1, and applying che iterationof Newton's method, gives the improved approximation":Xz42=Here Ax₂ =X1Ya+AX₁A41anelAy₁ =

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Consider the system. Foxy = X=Y+1=C Eg(x,y) = y=x²³²-1=0 For X₁₂₁= 1.1 and 4₁₂₁ = 2.1, we have Don't round off Fc (₁4₁). Fy (x₁, 4₂₁) = 9x (₁41) = gy (x₁, 4₁ ) = 11 System (1) has a solution near the point (x, y₁) = (1.1, 2.1). Taking the initial approximations X₁ = 1.1 and y₁ = 3.1, and applying one iteration of Neuton's method, gives the improved approximation": X₂ X1 [4₁ LY₂ Here Ax₂ = + AX₂₁ A41 gne Ay₁ =

Consider the system. Foxy = X=Y+1=C Eg(x,y) = y=x²³²-1=0 For X₁₂₁= 1.1 and 4₁₂₁ = 2.1, we have Don't round off Fc (₁4₁). Fy (x₁, 4₂₁) = 9x (₁41) = gy (x₁, 4₁ ) = 11 System (1) has a solution near the point (x, y₁) = (1.1, 2.1). Taking the initial approximations X₁ = 1.1 and y₁ = 3.1, and applying one iteration of Neuton's method, gives the improved approximation": X₂ X1 [4₁ LY₂ Here Ax₂ = + AX₂₁ A41 gne Ay₁ =

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter1: Systems Of Linear Equations

Section1.1: Introduction To Systems Of Linear Equations

Problem 90E: Consider the system of linear equations in x and y. ax+by=ecx+dy=f Under what conditions will the...

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