In this problem you will create your own function to perform matrix operations using loops and

scalar multiplication, scalar addition, and scalar subtraction. The purpose of this assignment is $(1)$

to provide experience using loops with arrays and $(2)$ to provide experience with matrix algebra.

MATLAB does have built$-$in matrix functions such as the inverse function $($inv$),$ the transpose

function $($transpose or $"\text{'}"),$ the determinant function $($det$),$ matrix addition $(+),$ matrix

subtraction $(-),$ and matrix multiplication $(*).$ Your code may not use MATLAB's built$-$in matrix

functions. Similarly, your code may not use MATLAB's vectorization syntax $($i$.$e$.,$ the dot operators$)$

such $"./"$ and $".*".$ All computations must be performed using loops that process individual

array elements one at a time. Code that uses the built$-$in MATLAB matrix functions or

vectorization will receive no credit.

Create a function called MatrixOps that computes various matrix operations:

function $[$status$,$ result$]=$ MatrixOps $($op$,$ a$1,$ a$2)$

$\%$ your code here

end

where the variables are defined as follows:

op a number indicating the desired matrix operation

a$1$

a matrix of numbers

a$2$ a matrix of numbers

status indicates if the calculation was successful $($value $=0$ or $1)$

result an array containing the result of the calculation or $0$

if the calculation was unsuccessful

The table below shows the calculation to perform for each value of $op$ :

For $op=4,5,$ or $6,$ the value a $2$ is not used. For these three cases, your code should ignore the value

but a value must still be passed to the function when it is called. An easy way to handle this is to

simply pass an empty array to your code when you call it as in this example:

$[s,r]=$MatrixOps$(5,[12$;$34],[])$;

Your code should set the value of status to $1$ to indicate that the calculation was successful, and $0$

to indicate that it was not. The calculation is unsuccessful if the dimensions of a $1$ and a $2$ are

incompatible with each other or if the value of $op$ is not one of the defined values. For $op=4,$ your

code should be restricted to handling only square matrices that are $33$ or smaller. If the dimension

is larger than $33,$ or the matrix is not square, your code should indicate that the calculation was

unsuccessful. Likewise, for $op=6,$ your code should be restricted to handling only square matrices

that are $22$ or smaller. If the dimension is larger than $22,$ or the matrix is not square, your code

should indicate that the calculation was unsuccessful. If the calculation is unsuccessful, your code

should set result to $0.$ Otherwise, the value of result should be the result of the matrix

calculation.