Problem Description

Write a program to find the determinant of a matrix. For how to find a determinant of a matrix please see: https://www.mathsisfun.com/algebra/matrix-determinant.html. Here you can find a determinant calculator to help you check your work: https://www.symbolab.com/solver/matrix-determinant-calculator

Problem Details

The name of the file containing the matrix will be given on the command line

This name will always be valid

The structure of a matrix file is

Num_rows num_cols

row1_val1 row1_val2 row1_val3…

row2_val1 row2_val2 row2_val3…

...

The files will always be structured correctly

Examples of these files have been included in the starter code

The matrices will always be square, ie N X N

The values in the matrix are real numbers

Additional Requirements

You should always print your answer to 2 decimal places

You must use a struct to represent your matrix object

If you do not use a struct the TAs will manually deduct 50% from your score after the due date has passed

Your solution should consist of at least 3 source files

matrix.c

matrix.h

main.c

Hints

This problem is recursive

Make sure to only open the file in read ("r") mode. If you open it in read and write ("r+") mode or write ("w") mode you will get an error as you only have read permissions for the matrix files

You are free to write as many functions as you want, so take advantage of that fact and break the problem down into lots of steps

Example

In the following example, input has been underlined to help you tell it apart from what you should output. You don’t need to underline anything, it is just a visual aid for you.

Assume the file 3X3Matrix.txt had the following contents

3 3

1 2 3

4 5 6

7 8 9

./findDeterminant.out 3X3Matrix.txt

The determinant is 0.00.