3-solve the following system of linear equations using Gaussian elimination approach (backwardsubstitution).1x₁ + x₂ + 2x₂ = 311 1 22x, +3x₂ + x₁ = 1 Ax=b, A=2 3 1. b 13x₁-x₂-x₂ = -1)3-1-1-1Write the corresponding LU decomposition.Write the determinant of coefficient matrix based on LU results.Give the inverse of A using the L¹, UO

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Answered: 3-solve the following system of linear…

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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3-solve the following system of linear equations using Gaussian elimination approach (backward substitution). 1x₁ + x₂ + 2x₂ =3] 2x, +3x₂ + x₁ = 1 Ax=b, A= 2 3 3x₁x₂x₁ = -1) 3-1 [112]