/* 2x2 Matrices (20 points)

  Part 1 (15 points)
  
  Write a complete C program that asks the user to enter 
  the four entries of a 2x2 matix and then prints the 
  determinant of the matrix on the screen.
  
  The program must:
     * ask the user to enter 4 floats: a,b, c, and d. 
		
     * print the matrix in the following format
  
             | a  b |
             | c  d |
    
    * calculate and print the determinant (det = a*d - c*b).
    
  The program must define and use two functions
    float calc_determinant(float a, float b, float c, float d)
    void printMatrix(float a, float b, float c, float d)

  These functions do exactly what they their names suggest.
  
  Part 2 (5 points): Modify the program to ask the user to enter 
  two 2x2 matrices and to print another matrix which is the result of
  adding the first two matrices.
  
*/

#include <stdio.h>
#include <stdlib.h>
#include <math.h>

//Function to find determinant
float calc_determinant(float a, float b, float c, float d)
{
 	return (a*d-c*b);
}

void printMatrix(float a, float b, float c, float d)
{
	printf("| %5.2f   %5.2f |\n", a, b);
	printf("| %5.2f   %5.2f |\n", c, d);
}

int main(int argc, char** argv[])
{
	//ask the user the enter a 2x2 matrix
	//	a	b
	//	c	d	
		
	float a,b,c,d;
	float det;
	
	printf("Please enter a 2x2 matrix:\n");
	printf("\n\t| a\tb |\n\t| c\td |\n\n");
	printf("a = ");
	scanf("%f",&a);
	printf("b = ");
	scanf("%f",&b);
	printf("c = ");
	scanf("%f",&c);
	printf("d = ");
	scanf("%f",&d);
	
	printf("\nYou entered:\n");
	printMatrix(a,b,c,d);
	
	det = calc_determinant(a,b,c,d);
	
	printf("\nThe determinant of the matrix is %f.\n\n",det);

	system("pause");
	return(0);
}