A nonlinear function is given as f(x)= a sin x + bx² + In x.The function passes through three locations at x =1, x= x and x = 2. The values of the function at the three locations are 2.1829, 6.0795 and 4.5117, respectively. (i) Organize the problem in a matrix form. (ii) Determine the value of coefficients a, b and c using Gauss elimination.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 30E
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Exercise in Class on 15th November 2022
A nonlinear function is given as f(x)= a sin x + bx² + In x.The function passes through three
locations at x =1, x = and x = 2. The values of the function at the three locations are 2.1829,
6.0795 and 4.5117, respectively.
(i) Organize the problem in a matrix form.
(ii) Determine the value of coefficients a, b and c using Gauss elimination.
(iii) Instead of using the elimination approach, use Gauss-Siedel iteration to solve for the value of
coefficients a, b and c
Transcribed Image Text:Exercise in Class on 15th November 2022 A nonlinear function is given as f(x)= a sin x + bx² + In x.The function passes through three locations at x =1, x = and x = 2. The values of the function at the three locations are 2.1829, 6.0795 and 4.5117, respectively. (i) Organize the problem in a matrix form. (ii) Determine the value of coefficients a, b and c using Gauss elimination. (iii) Instead of using the elimination approach, use Gauss-Siedel iteration to solve for the value of coefficients a, b and c
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