2. Use LU decomposition with partial pivoting to solve the following problem.2x₁ +5x₂ + x₂ = -72x₂ + 4x₂ = 66x₁ + x₂ = 12Include in your results the results of the decomposition for L and U, the d vector found in the forwardsubstitution step and the final values for the x vector.Remember, any row shifts must include the right-hand column.

The given equations are: 2x1+5x2+x3=-72x2+4x3=66x1+x2=12 We have to solve the given equation using…

Answered: 2. Use LU decomposition with partial…

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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2. Use LU decomposition with partial pivoting to solve the following problem. 2x₁ +5x₂ + x3 = -7 2x₂ + 4x₂ = 6 6x₁ + x₂ = 12 Include in your results the results of the decomposition for L and U, the d vector found in the forward substitution step and the final values for the x vector.