Q3 Solve the system of the linear equation below by the Gauss elimination method with pivoting. -2x2 + 8x3 = 5(6) (Eq. 1) 3x1 + 4x2 – 2x3 = 6 (Eq. 2) 6x1 + 3x2 = 6(6) (Eq. 3) %3D

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Q3 Solve the system of the linear equation below by the Gauss elimination method with pivoting.
-2x2 + 8x3 = 5(6) (Eq. 1)
3x1 + 4x2 – 2x3 = 6 (Eq. 2)
6x1 + 3x2 = 6(6) (Eq. 3)
%3D
Transcribed Image Text:Q3 Solve the system of the linear equation below by the Gauss elimination method with pivoting. -2x2 + 8x3 = 5(6) (Eq. 1) 3x1 + 4x2 – 2x3 = 6 (Eq. 2) 6x1 + 3x2 = 6(6) (Eq. 3) %3D
LIST OF FORMULA
a, +b,
i = 0,1,2,...
2
Bisection method:
Secant method:
Xi+2
, i = 0,1,2 ..
f(xi+1) - f(x)
.....
Newton-Raphson method: x = x,
f(x,)
.i = 0,1,2....
f"(x,)
f.0 = fi,i = 0,1,..n
fU-1] - fj-1
Newton's interpolation:
%3D
j = 1,2,..,n
%3D
Xi+j - Xị
P,(x) = f0 + f"(x-x)+ f"(x-x, )(x- x)++f"(x-x, )(x-).-(x-x)
Lagrange interpolation: P,(x) = L,(x)f, for k 0,1,2,3,.,n with L(x)= -*,)
1-6 (x, -x)
i=0
Transcribed Image Text:LIST OF FORMULA a, +b, i = 0,1,2,... 2 Bisection method: Secant method: Xi+2 , i = 0,1,2 .. f(xi+1) - f(x) ..... Newton-Raphson method: x = x, f(x,) .i = 0,1,2.... f"(x,) f.0 = fi,i = 0,1,..n fU-1] - fj-1 Newton's interpolation: %3D j = 1,2,..,n %3D Xi+j - Xị P,(x) = f0 + f"(x-x)+ f"(x-x, )(x- x)++f"(x-x, )(x-).-(x-x) Lagrange interpolation: P,(x) = L,(x)f, for k 0,1,2,3,.,n with L(x)= -*,) 1-6 (x, -x) i=0
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