Please use MatLabThe second picture is a supplement to the title of the first picture. You just need to solve the problem in the first pictureThanks Write two user-defined MatLab functions that implement the LU decomposition method usingDoolittle's decomposition. The one function LUdecom should transform the coefficient matrix[A] to the Doolittle's decomposed form [L/U] and the second LUsolut should solve the set ofequations. Apply the algorithm with the system of equations in question 1 and report the results. 1. Create a user-defined MatLab function that implements the Gauss elimination method calledGauss_alt. The input arguments would matrix [a] and [b] from linear algebra ([a]*[x]=[b]) andthe output [x]. If the input argument [b] is a row vector, the function should be able to transformit to a column vector. Use the augmented matrix for [ab] for all operations in the function.Solve the following set of equations by hand (explain the steps you are following):x₁ + 2x₂ - 2x₂ =92x₁ + 3x₂ + x₂ = 233x₁ + 2x₂ - 4x3 =11Use the function Gauss_alt to validate your hand-calculated solution. (30%)

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Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

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Please use MatLab
The second picture is a supplement to the title of the first picture. You just need to solve the problem in the first picture

Thanks

Write two user-defined MatLab functions that implement the LU decomposition method using
Doolittle's decomposition. The one function LUdecom should transform the coefficient matrix
[A] to the Doolittle's decomposed form [L/U] and the second LUsolut should solve the set of
equations. Apply the algorithm with the system of equations in question 1 and report the results.

1. Create a user-defined MatLab function that implements the Gauss elimination method called
Gauss_alt. The input arguments would matrix [a] and [b] from linear algebra ([a]*[x]=[b]) and
the output [x]. If the input argument [b] is a row vector, the function should be able to transform
it to a column vector. Use the augmented matrix for [ab] for all operations in the function.
Solve the following set of equations by hand (explain the steps you are following):
x₁ + 2x₂ - 2x₂ =9
2x₁ + 3x₂ + x₂ = 23
3x₁ + 2x₂ - 4x3 =11
Use the function Gauss_alt to validate your hand-calculated solution. (30%)

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The title requires the use of Doolittle's decomposition, so other methods are invalid except the first one. Can you give specific steps about Doolittle’s decomposition?

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Follow-up Question

Hello,i used the Doolittle's method,but it shows that

Insufficient number of input parameters.

Error untitled4 (line 2)
[n,~] = size(A);

function [L, U] = LUdecom(A)
[n,~] = size (A);
end
L = eye(n);
U = A;
for k=1:n-1
end
for i=k+1:n
L(i,k)
for j=k+1:n
U(i, j)
end
end
=
U(i,k)/U(k, k);
=
U(i,j) L(i,k)*U(k,j);

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