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Q3 Solve the system of the linear equation below by the Gauss elimination method with pivoting. -2x2 + 8x3 = 51a (Eq. 1) 3x, + 4x2 – 2x3 = la (Eq. 2) 6x1 + 3x2 = 61a (Eq. 3) %3D

Q3 Solve the system of the linear equation below by the Gauss elimination method with pivoting. -2x2 + 8x3 = 51a (Eq. 1) 3x, + 4x2 – 2x3 = la (Eq. 2) 6x1 + 3x2 = 61a (Eq. 3) %3D

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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NUMERICAL Method

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Q3 Solve the system of the linear equation below by the Gauss elimination method with pivoting. -2x2 + 8x3 = 51a (Eq. 1) 3x, + 4x2 – 2x3 = la (Eq. 2) 6x1 + 3x2 = 61a (Eq. 3) %3D
Transcribed Image Text:Q3 Solve the system of the linear equation below by the Gauss elimination method with pivoting. -2x2 + 8x3 = 51a (Eq. 1) 3x, + 4x2 – 2x3 = la (Eq. 2) 6x1 + 3x2 = 61a (Eq. 3) %3D
Bisection method: e, a, +b, -,i = 0,1,2,.. x,f (x++1) – X+1f (x1) f(x+1) - f(x) f(x;) f'(x,) f.0 = fi,i = 0,1,.. n -U-1) Scant method: X1+2 = i = 0,1,2 . Newton-Raphson method: X = x, i = 0,1,2,... Newton's interpolation: FU-1) - f -j = 1,2, .., Xi+j - X P,(x) = f0 + (x-to)+ f(x-x(x- x) ++ f"(x-x,)(x-x;).(r-x) Lagrange interpolation: P,(x) =4,(x)f, for k = 0,1,2,3.n with L,(x) = II (x, – x,) -0 J-0
Transcribed Image Text:Bisection method: e, a, +b, -,i = 0,1,2,.. x,f (x++1) – X+1f (x1) f(x+1) - f(x) f(x;) f'(x,) f.0 = fi,i = 0,1,.. n -U-1) Scant method: X1+2 = i = 0,1,2 . Newton-Raphson method: X = x, i = 0,1,2,... Newton's interpolation: FU-1) - f -j = 1,2, .., Xi+j - X P,(x) = f0 + (x-to)+ f(x-x(x- x) ++ f"(x-x,)(x-x;).(r-x) Lagrange interpolation: P,(x) =4,(x)f, for k = 0,1,2,3.n with L,(x) = II (x, – x,) -0 J-0
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