Please pick any of the topic.

Project Title: MATLAB Implementation of Reduced Row Echelon Form

Objective:

The main objective of this project is to implement a MATLAB function that takes an input matrix and computes its reduced row echelon form.

Goal:

The main objective of this project is to implement a MATLAB user defined function that takes an input matrix and computes its reduced row echelon form. The function

will be called computeRREF as shown below.

function RREF$\_$matrix $=$ computeRREF$($input$\_$matrix$)$

Testing:

You will compute the reduced row echelon form of the below matrix by hand and also input that matrix into computeRREF.

$A=\left[\begin{array}{ccccccccc}2& 4& -6\text{;}& 1& 3& -4\text{;}& 3& 7& -10\end{array}\right]$;

$B=\left[\begin{array}{ccccccccc}1& 2& -1\text{;}& 3& 6& -3\text{;}& 2& 4& -2\end{array}\right]$;

$C=\left[\begin{array}{ccccccccc}2& 1& -3\text{;}& 4& 5& -8\text{;}& 3& 6& -9\end{array}\right]$;

Documentation:

You will write atleast $2$ pages report. Which should have the hand calculation for testing and it should also show your output from above matrix. Please have the algorithm

of the code you are coding also in this file.

Complexity Analysis:

You are not allowed to use RREF $($MATLAB built in function$).$ You can assume the first row, first column of the input matrix is not zero.