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# include<stdio.h>
# include<stdlib.h>
# define row 10
# define col 10
int i, j, k;
int row1, col1;
float mat1[row][col];
float mat2[row][col];
float mat_res[row][col];
/* function to multiply matrix with its transpose */
void mat_mult( float mat1[row][col], int row1, int col1,float mat_res[row][col])
{
int flag ;
if(col1 == row1)
{
printf("\n Multiplication is possible and Result is as follows\n");
for(i = 0; i<row1; i++)
for(j = 0; j<col1; j++)
{
mat_res[i][j] = 0;
for(k = 0; k < col1; k ++)
{
mat_res[i][j] += mat1[i][k] * mat2[k][j];
}
}
display(mat_res,row1,col1);
}
else
{
printf("\n Multiplication is not possible");
exit(0);
}
for(i = 0 ; i< row1; i++)
{
for(j = 0; j < col1; j++)
{
if(((int)mat_res[i][i] == 1) && ((int ) mat_res[i][j] == 0))
flag = 1;
}
}
if( flag == 1)
{
printf("\n Matrix X * Transpose of X = Identity Matrix");
printf("\n The given Matrix is Orthogonal");
}
else
{
printf("\n Matrix X * Transpose of X != Identity Matrix");
printf("\n The given Matrix is not Orthogonal");
}
}
void display(float mat[row][col], int r, int c )
{
printf("\n");
for( i = 0; i < r; i++)
{
for( j = 0; j < c; j++)
{
printf(" %f", mat[i][j]);
}
printf("\n");
}
}
void input(float mat[row][col], int r, int c)
{
for( i = 0 ; i< r; i++)
{
for( j = 0 ; j<c; j++)
{
printf("Input Value for: %d: %d: ", i+1, j+1);
scanf("%f", &mat[i][j]);
}
}
}
void transpose( float transp[10][10],int row1, int col1)
{
for( i = 0; i< row1; i++)
{
for( j = 0; j < col1; j++)
{
mat2[i][j] = transp[j][i] ;
}
}
display(mat2,row1,col1);
}
main()
{
printf("Program to chech whether a matrix is orthogonal or not : \n");
int row1, col1;
int row2, col2;
printf("\n Input the row of the matrix:");
scanf("%d", &row1);
printf(" Input the col of the matrix:");
scanf("%d", &col1);
printf("\n Input data for matrix\n");
input(mat1, row1, col1);
printf("\n Entered Matrix First is as follows:\n");
display(mat1,row1,col1);
printf(" \n Transpose of above matrix is as follows:\n");
transpose(mat1, col1, row1);
mat_mult(mat1 ,row1 ,col1, mat_res);
}
Implement Orthogonal Matrix in C Programming
