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 [a b] 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 - 4x₂ = 11 Use the function Gauss_alt to validate your hand-calculated solution.

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
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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 + x3 = 23
3x₁ + 2x₂ - 4x₂ = 11
Use the function Gauss_alt to validate your hand-calculated solution.
Transcribed Image Text: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 + x3 = 23 3x₁ + 2x₂ - 4x₂ = 11 Use the function Gauss_alt to validate your hand-calculated solution.
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.
Transcribed Image Text: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.
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Hi, it is not correct. It says:

Insufficient number of input parameters.

Error in Gauss_alt (line 3)
     if size(b,1) == 1

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