question $1$

Exercise: matrix calculator

In this question you are required to write a C program that performs basic arithmetic operations on square matrices. The program should allow the user to enter up to a pair of matrices $+$ an operation to perform addition, subtraction, multiplication, or$,$ and, not, transpose. Then display the result accordingly. The numbers in the matrix can be whole, rational and even complex

Examples of input $/$ output

Explanation of the syntax $(2,2$:$1,2,3,4)$ Kotex

$(2,2$:$1,2,3,4)$ represents a matrix in a compact form and includes the following elements:

$-(2,2)$ matrix size:

a$.$ The first number $(2)$ indicates the number of rows in the matrix.

b$.$ The second number $(2)$ indicates the number of columns in the matrix.

$-$ : separates the size of the matrix from its values.

$-1,2,3,4$ the values $$in the matrix:

a$.$ The values $$are separated by commas and arranged in consecutive lines.

b$.$ In this case, the first row contains the values $1$ and $2,$ and the second row contains the

The values $3$ and $4.$

Input requirements:

Below is an example of the input and output of the program. The program receives a calculation action from the user and prints the output like this in a loop until the string END is entered. $($reminiscent of the terminal interface$)$ when the END string is received, the program exits.

$(2,2$:$1,2,3,4)$

$(2,2$:$5,6,7,8)$

ADD

$(2,2$:$6,8,10,12)$

$(2,2$:$9,8,7,6)$

$(2,2$:$1,2,3,4)$

SUB

$(2,2$:$8,6,4,2)$

$(2,2$:$1,2,3,4)$

$(2,2$:$5,6,7,8)$

MUL

$(2,2$:$19,22,43,50)$

END

explanation:

$$ In the first input, the user enters two $2$x$2$ matrices with the values $(2,21,2,3,4)$

$-(2,2$:$5,6,7,8),$ and asks to add $($ADD$)$ the resulting output is a new matrix

$(2,2$:$6,8,10,12)2$ with the values $$x$2$ in size $$ In the second input, the user again enters two $2$x$2$ matrices with the values $(2,2$:$9,8,7,6)-$

$(2,21,2,3,4),$ and asks to perform a subtraction $($SUB$)$ The resulting output is a new matrix with the result of the subtraction

In the third input, the user enters two $2$x$2$ matrices with the values $(2,21,2,3,4$ and $1-(2,25,6,7,8),$ and requests to perform a multiplication. $($MUL$)$ The resulting output is a new matrix with the result of the multiplication

At the end, the user presses the string "END" to terminate the program.

Notes on format and assumptions

A proper port can be placed! And that there are no spaces in the input anywhere $($only a new line at the end of a line$).$ In the case of a binary operation, but the matrices contain values $$that differ from $110.$ ERR must be printed. But to continue with the program. Beyond that, it can be assumed that the input is correct

Nothing can be assumed about the size of the matrix except that it is square. The maximum string length in a line captured from the user is up to $128$ characters.

It can be assumed that complex, whole and rational numbers are not mixed

In rational numbers, only one digit should be displayed after the period

Coefficients of complex numbers are only integers. You can use the exercise in the $.$complex library

file names.

Ex$3$ql$.$c $\mathrm{.}1$