TASK $2$:

$($a$)$ In MATLAB, create your initial matrix A using the command$($b$)$ Provide your matrix A$($c$)$ Let B be the matrix that results from putting A in reduced row echelon form $($i$.$e$.,$ the triangular matrix$).$ Use MATLAB and row operations to transform A into B$.$ Provide ONLY your MATLAB script $($i$.$e$.,$ list of MATLAB commands$).$ Do not provide your intermediate outputs. Read about the diary function to find out how to get the list of your commands.$($d$)$ Provide the matrix B$.($e$)$ Use MATLAB commands to compute the determinant of A$.$ You are NOT allowed to use the MATLAB det function for this task but you can use it to check your answer. Provide ONLY your MATLAB script $($i$.$e$.,$ list of MATLAB commands$)($f$)$ Use MATLAB to find the matrix C$,$ the inverse of A$.$ You are NOT allowed to use the MATLAB inv function for this task but you can use it to check your answer. Provide your MATLAB script $($i$.$e$.,$ list of MATLAB commands$)($g$)$ Provide your matrix C$($h$)$ Use vector$-$matrix multiplication in MATLAB and the matrix C to find the solution to the equation

$Ax=b$

where

$b=\left[\begin{array}{cccccc}1& 2& 3& 4& 5& 6\end{array}\right]$

Provide the solution vector and your MATLAB script $($i$.$e$.,$ list of MATLAB commands$)$

Important remarks:

A concise document$/$report submitted as a WORD document.

Plots should be submitted as PNG files inserted into your report.

All axes must be properly labeled. Screenshots of plots are not acceptable.

$2$