QUESTION 2 2. Systems of linear equations - Direct Methods Let us consider the following system of linear equations (x+2y +2z = 1 2r + 5y + z = 2 (2x + 8y + z = 5 Perform the LU factorisation of the incomplete matrix associated with the system of linear equations. After the factorisation, solve the original system (find z, y, and 2) by making use of the LU factorisation. a. b. Apply Gaussian elimination to LU factorise the matrix of coefficients. More specifically, show the equivalence of Gaussian elimination and LU factorization

QUESTION 2 2. Systems of linear equations - Direct Methods Let us consider the following system of linear equations (x+2y +2z = 1 2r + 5y + z = 2 (2x + 8y + z = 5 Perform the LU factorisation of the incomplete matrix associated with the system of linear equations. After the factorisation, solve the original system (find z, y, and 2) by making use of the LU factorisation. a. b. Apply Gaussian elimination to LU factorise the matrix of coefficients. More specifically, show the equivalence of Gaussian elimination and LU factorization

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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