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# include<stdio.h>
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] )
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])
{
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<col; j++)
{
printf("Input Value for: %d: %d: ", i+1, j+1);
scanf("%d", &value);
mat[i][j] = value;
}
}
}
void main()
{
int rank;
printf("\n Input number of rows:");
scanf("%d", &R);
printf("\n Input number of cols:");
scanf("%d", &C);
input(R, C);
printf("\n Row is : %d", R);
printf("\n Column is : %d \n", C);
printf("\n Entered Two Dimensional array is as follows:\n");
display(R,C);
printf("\n Row is : %d", R);
printf("\n Column is : %d\n", C);
rank = Rank_Mat(R, C);
printf("\n Rank of above matrix is : %d", rank);
}
Checking of a Rank of a matrix in C Programming
