QUESTION 22. Systems of linear equations - Direct MethodsLet us consider the following system of linear equations(x +2y + 2z = 12x + 5y + z = 22x + 8y +z = 5a. Apply the method of Gaussian elimination to determine the equivalent triangular system.When the triangular system has been obtained solve the system (find x, y, and 2).b. Perform the LU factorisation of the incomplete matrix associated with the system of linearequations. After the factorisation, solve the original system (find r, y, and 2) by makinguse of the LU factorisation.c. Apply Gaussian elimination to LU factorise the matrix of coefficients. More specifically,show the equivalence of Gaussian elimination and LU factorizationFor all the points above show and comment on, all the steps.

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2. Systems of linear equations - Direct Methods Let us consider the following system of linear equations (r+2y+2z = 1 2r + 5y + z = 2 (2x + 8y + z = 5 a. Apply the method of Gaussian elimination to determine the equivalent triangular system. When the triangular system has been obtained solve the system (find r, y, and 2).

2. Systems of linear equations - Direct Methods Let us consider the following system of linear equations (r+2y+2z = 1 2r + 5y + z = 2 (2x + 8y + z = 5 a. Apply the method of Gaussian elimination to determine the equivalent triangular system. When the triangular system has been obtained solve the system (find r, y, and 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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