C Program to Find the Rank of a Matrix

# include




int R,C;
int i, j;
int mat[10][10];




void display( int, int);
void input( int, int);
int Rank_Mat(int , int);
void swap(int, int, int);
void swap( int row1,int row2, int col)
{
	for( i = 0; i < col; i++)
	{
		int temp = mat[row1][i];
		mat[row1][i] = mat[row2][i];
		mat[row2][i] = temp;
	}
}

int Rank_Mat(int row1, int col1)
{
	int r, c;
	for(r = 0; r< col1; r++)
	{
		display(R,C);
		if( mat[r][r] )  // Diagonal element is not zero
		for(c = 0; c < row1; c++)
			if(c != r)
			{
				float ratio = mat[c][r]/ mat[r][r];
				for( i = 0; i < col1; i++)
					mat[c][i] -= ratio * mat[r][i];
			}




			else
				printf("\n");


		else
		{
			for(c =  r+1 ; c < row1;  c++)
				if (mat[c][r])
				{
					/*  Find non zero elements in the same column */
					swap(r,c,col1);
					break ;
				}




			if(c == row1)
			{
				-- col1;




				for(c = 0; c < row1; c ++)
					mat[c][r] = mat[c][col1];
			}
			--r;
		}
	}
	return col1;
}

void display( int row, int col)
{
	for(i = 0; i < row; i++)
	{
		for(j = 0; j < col; j++)
		{
			printf("  %d", mat[i][j]);
		}
		printf("\n");
	}
}
void input( int row, int col)
{
	int value;
	for(i = 0 ; i< row; i++)
	{
		for(j = 0 ;  j