3 4 34 102 228 3) By taking into account the given data, determine the third-order interpolating polynomial in the standard form of y(x) y(x)=Dax' +bx² +cx+d by writing the polynomial explicitly for each point. Identify the coefficients by using inverse of the coefficients matrix' (calculate the inverse of the matrix by using the Gauss - Jordan method). Firstly, write the general formula of this method for solving system of linear equations. Verify your result for all data! Finally, calculate y(1.5), y(2.5), and y(3.5) by using this polynomial. Solution 3) Solution by using Standard method and by using 'inverse of the coefficients matrix': 2.

3 4 34 102 228 3) By taking into account the given data, determine the third-order interpolating polynomial in the standard form of y(x) y(x)=Dax' +bx² +cx+d by writing the polynomial explicitly for each point. Identify the coefficients by using inverse of the coefficients matrix' (calculate the inverse of the matrix by using the Gauss - Jordan method). Firstly, write the general formula of this method for solving system of linear equations. Verify your result for all data! Finally, calculate y(1.5), y(2.5), and y(3.5) by using this polynomial. Solution 3) Solution by using Standard method and by using 'inverse of the coefficients matrix': 2.

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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Question

3) By taking into account the given data, determine the third-order
interpolating polynomial
y(x)= ax' +bx² +cx +d by writing the polynomial explicitly for
1
2
3
4
the
standard
form
of
y(x)
34
102 228
each point. Identify the coefficients by using 'inverse of the
coefficients matrix' (calculate the inverse of the matrix by using the
Gauss – Jordan method). Firstly, write the general formula of this
method for solving system of linear equations. Verify your result for
all data! Finally, calculate y(1.5), y(2.5), and y(3.5) by using this
polynomial.
Solution 3) Solution by using Standard method and by using 'inverse of the coefficients matrix:

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