The three elementary row operations can be performed in MATLAB using the following commands

Type I: $A([i,j],$:$)=A([j,i],$:$)$ interchanges row i and row $j$

Type II: $A(i,$:$)={}^{**}A(i,$:$)$ multiplies row $i$ by $a$

Type III: $A(i,$:$)=A(i,$:$)+{}^{**}A(j,$:$)$ multiplies row $j$ by and adds it to row $i$

The matrix A below has been created for you.

$A=\left[\begin{array}{ccc}5& 3& -9\\ -10& -7& 0\\ 15& 8& 14\end{array}\right]$

Perform row operations in MATLAB that reduce the matrix A to Row Echelon Form.

The row operations are indicated for you in the learner template. Make sure you follow the instructions and perform

only the row operation indicated in the comments. After each row operation, the result is stored in a new matrix in

order for MATLAB to verify the accuracy of the intermediate steps.

You might want to click on "Run Script" at each row operations to check that your steps are correct and to determine

the next step in the row reduction.

NOTE: in format rat, a number very close to zero, but not exactly zero due to round off error is denoted by $*.$ If you

see $*$ in the output of your calculations, you should treat it as zero.

Don't forget to include your name as a comment in your scrip

Resets the solution code to the

starter code provided by the

instructor. Changes you have

made are discarded.

Script $2$

format rat

$A=[5,3,-9$;$-10,-7,0$;$15,8,14]$

$\%$ YOUR NAME

$\%$ divide the first row by the appropriate scalar so that the pivot is a one

A$\_$new$1=$ A;

$\%$ zero out the entry in position $(2,1)$ by performing a single row operation

A$\_$new $2=A$;

$\%$ zero out the entry in position $(3,1)$ by performing a single row operation

A$\_$new $3=A$;

$\%$ zero out the entry in position $(3,2)$ by performing a single row operation

A$\_$new$4=$A;

$\%$ make the pivot in row $2$ a one by performing a single row operation

A$\_$new$5=A$;

$\%$ make the pivot in row $3$ a one by performing a single row operation

$R=A\%$the final result is stored in the matrix $R$