Solving Augmented Matrix: How to Use Matlab for Linear Algebra Help

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SUMMARY

This discussion focuses on solving an augmented matrix using MATLAB for linear algebra applications. The user has a 4x4 matrix A and a vector B, which they have solved manually using Gaussian Elimination, yielding the solution vector [4; -3; 1; 2]. The user seeks guidance on how to input this system into MATLAB to achieve the same result, confirming that the correct MATLAB commands are solution = A\B or solution = inv(A)*B.

PREREQUISITES
  • Understanding of augmented matrices and their representation
  • Familiarity with Gaussian Elimination method
  • Basic knowledge of MATLAB syntax and operations
  • Concept of matrix inversion and solving linear systems
NEXT STEPS
  • Research MATLAB's matrix operations and syntax
  • Learn about MATLAB's built-in functions for solving linear equations
  • Explore advanced techniques in linear algebra, such as LU decomposition
  • Study the implications of matrix inversion in numerical analysis
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Students, educators, and professionals in mathematics, engineering, or any field requiring linear algebra solutions using MATLAB.

kahless2005
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I have an augmented matrix that I need to solve. I have broken it into a 4x4 matrix and a vector. As seen below.

A= 0 1 1 1; 3 0 3 -4; 1 1 1 2; 2 3 1 3

B= 0; 7; 6; 6


I have already worked the matrix out by hand using Gaussian Elimination and have obtained the solution below

Solution: 4; -3; 1; 2

How, do I enter the system into Matlab to get the same answer?
 
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A= [0 1 1 1; 3 0 3 -4; 1 1 1 2; 2 3 1 3]
B= [0; 7; 6; 6]
solution=A\B
or
solution=inv(A)*B
 

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