C program to perform Operation On Matrices

 C program which perform  operation on matrix ,operation such as addition ,subtraction,multiplication,transpose etc.This is a menu driven program where user can enter their choice and perform various mathematical operation.

C Program to perform  operation on matrices

#include <stdio.h>
#include <conio.h>
#define MAX 3
void create ( int [3][3] ) ;
void display ( int [3][3] ) ;
void matadd ( int [3][3], int [3][3], int [3][3] ) ;
void matsub ( int [3][3], int [3][3], int [3][3] ) ;
void matmul ( int [3][3], int [3][3], int [3][3] ) ;
void upper(int m1[3][3]) ;
void lower(int m1[3][3]) ;
void transpose ( int [3][3], int [3][3] ) ;
void symmetry (int [3][3]);
void trace (int [3][3]);
void main( )
{
 int mat1[3][3], mat2[3][3], mat3[3][3], mat4[3][3], mat5[3][3], mat6[3][3],ch ;
 clrscr( ) ;
 while(1)
{
 printf("nnEnter your choice:n");
 printf("1. Additionn2. Subtractionn3. Multiplicationn4. Upper Matrixn");
 printf("5. Tracen6. Transposen7. Symmetryn8.Lower n9. EXITn");
 scanf("%d",&ch);
 if(ch==1||ch==2||ch==3)
 {
 printf ( "nEnter elements for first array: nn" ) ;
 create ( mat1 ) ;
 printf ( "nEnter elements for second array: nn" ) ;
 create ( mat2 ) ;
 printf ( "nFirst Matrix: n" ) ; 
 display ( mat1 ) ;
 printf ( "nSecond Matrix:n" ) ;
 display ( mat2 ) ;
 }
if(ch==9)
 exit(1);
if(ch==5||ch==7||ch==8||ch==4||ch==6)
 {
 printf ( "nEnter elements for first array: nn" ) ;
 create ( mat1 ) ;
 printf ( "nFirst Matrix: n" ) ;
 display ( mat1 ) ;
 }
 switch(ch)
 {
 case 1: matadd ( mat1, mat2, mat3 ) ;
 printf ( "nAfter Addition: n" ) ;
 display ( mat3 ) ;
 break;
case 2: matsub ( mat1, mat2, mat6 ) ;
 printf ( "nAfter Substraction: n" ) ;
 display ( mat6 ) ;
 break;
case 3: matmul ( mat1, mat2, mat4 ) ;
 printf ( "nAfter Multiplication: n" ) ;
 display ( mat4 ) ;
 break;
case 4: printf("nChecking Matrix is Upper triangular or not");
 upper(mat1);
 break;
case 5: printf("nnFinding Trace of Matrix ");
 trace (mat1);
 break;
case 6: transpose ( mat1, mat5 ) ;
 printf ( "nnTranspose of first matrix: n" ) ;
 display ( mat5 ) ;
 break;
case 7: printf("nnChecking Matrix is Symmetric or not");
 symmetry(mat1);
 break;
 case 8: printf("nnChecking Matrix is Lower triangular or not");
 lower(mat1);
 break;
case 9: exit(0);
default: printf("Wrong Choicen");
 }
}
getch( ) ;
}
/* creates matrix mat */
void create ( int mat[3][3] )
{
 int i, j ;
printf ( "nEnter the element: " ) ;
for ( i = 0 ; i < MAX ; i++ )
 {
 for ( j = 0 ; j < MAX ; j++ )
 {
scanf ( "%d", &mat[i][j] ) ;
 }
 }
}
/* displays the contents of matrix */
void display ( int mat[3][3] )
{
 int i, j ;
for ( i = 0 ; i < MAX ; i++ )
 {
 for ( j = 0 ; j < MAX ; j++ )
 printf ( "%dt", mat[i][j] ) ;
 printf ( "n" ) ;
 }
}
/* adds two matrices m1 and m2 */
void matadd ( int m1[3][3], int m2[3][3], int m3[3][3] )
{
 int i, j ;
for ( i = 0 ; i < MAX ; i++ )
 {
 for ( j = 0 ; j < MAX ; j++ )
 m3[i][j] = m1[i][j] + m2[i][j] ;
 }
}
/* subtract two matrices m1 and m2 */
void matsub ( int m1[3][3], int m2[3][3], int m3[3][3] )
{
 int i, j ;
for ( i = 0 ; i < MAX ; i++ )
 {
 for ( j = 0 ; j < MAX ; j++ )
 m3[i][j] = m1[i][j] - m2[i][j] ;
 }
}
/* multiplies two matrices m1 and m2 */
void matmul ( int m1[3][3], int m2[3][3], int m3[3][3] )
{
 int i, j, k ;
 for ( k = 0 ; k < MAX ; k++ )
 {
 for ( i = 0 ; i < MAX ; i++ )
 {
 m3[k][i] = 0 ;
 for ( j = 0 ; j < MAX ; j++ )
 m3[k][i] += m1[k][j] * m2[j][i] ;
 }
 }
}
/* obtains transpose of matrix m1 */
void transpose ( int m1[3][3], int m2[3][3] )
{
 int i, j ;
for ( i = 0 ; i < MAX ; i++ )
 {
 for ( j = 0 ; j < MAX ; j++ )
 m2[i][j] = m1[j][i] ;
 }
}
// Function for finding Upper Triangular Matrix
void upper(int m1[3][3])
{
int i,j;
int count = 0;
for(i = 0; i <= 2; i++)
{
for(j = 0; j <= 2; j++)
{
if(i <= j)
{
if(m1[i][j] == 0)
count++;
}
}
}
if(count == 3)
printf("nnThe Matrix is upper triangularn");
else
printf("nnThe Matrix is not upper triangularn");
}
// Function for finding Lower Triangular Matrix
void lower(int m1[3][3])
{
int count = 0;
 int i,j;
for(i = 0; i <= 2; i++)
{
for(j = 0; j <= 2; j++)
{
if(i >= j)
{
if(m1[i][j] == 0)
count++;
}
}
}
if(count == 3)
printf("nnThe Matrix is lower triangularn");
else
printf("nnThe Matrix is not lower triangularn");
}
//check symmetry of matrix
void symmetry(int m1[3][3])
{
int count=0;
int mt[3][3];
int i,j;
for(i=0;i<3;i++)
 {
 for(j=0;j<3;j++)
 {
 mt[j][i] = m1[i][j];
 }
 }
for(i=0;i<3;i++)
 {
 for(j=0;j<3;j++)
 {
 if(m1[i][j] == mt[i][j])
 {
 count++;
 }
 else
 {
 printf("nnMATRIX IS NOT SYMMETRIC");
 }
 }
 }
if(count==9)
printf("nnMATRIX IS SYMMETRIC");
}
//find trace of matrix
void trace (int m1[3][3])
{
int i,j,r,c,sum=0;
printf("nnEnter row size");
scanf("%d",&r);
printf("nnEnter coloumn size");
scanf("%d",&c);
if (r==c)
{
 for (i=0;i<r;i++)
 {
 sum=sum+m1[i][i];
 }
 printf("nTrace of the MATRIX is %d",sum);
}
else
{
printf("nENTER SQUARE MATRIX");
}
}

Output