/* Pascal triangle */
#include
long fact(int);
int main(){
int line,i,j;
printf("Enter the no. of lines: ");
scanf("%d",&line);
for(i=0;i
for(j=0;j
printf(" ");
for(j=0;j<=i;j++)
printf("%ld ",fact(i)/(fact(j)*fact(i-j)));
printf("\n");
}
return 0;
}
long fact(int num)
{
long f=1;
int i=1;
while(i<=num)
{
f=f*i;
i++;
}
return f;
}
Sample output:
Enter the no. of lines: 8
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1
1 7 21 35 35 21 7 1
Cosine series :
#include
| |||
#include
| |||
#include
| ||
/*function prototypes*/
| ||
int factorial(int number);
| ||
int cosine(int value);
| ||
int main(void)
| ||
{
| ||
int random;
| ||
int cosineValue;
| ||
printf("Enter cosine value");
| ||
scanf("%d",&cosineValue);
| ||
printf("The cosine value is %d",cosine(cosineValue));
| ||
return 0;
| ||
}/*end main */
| ||
int factorial(int number)
| ||
{
| ||
if(number<=1)
| ||
{
| ||
return 1;
| ||
}else
| ||
{
| ||
return (number*factorial(number-1));
| ||
}//end if...
| ||
}
| ||
int cosine(int value)
| ||
{
| ||
int sum = 1;
| ||
int i;
| ||
int term=1;
| ||
int power;
| ||
int fact;
| ||
for(i=0;i<=5;i++)
| ||
{
| ||
value = value*(-1);
| ||
power = pow(value,i*2);
| ||
fact=factorial(2*i);
| ||
sum=sum+(power/fact);
| ||
}
| ||
return sum;
| ||
}
| ||
How to find inverse of a matrix in C code to find inverse of a matrix Inverse of a 3x3 matrix in c
#include
int main(){
int a[3][3],i,j;
float determinant=0;
printf("Enter the 9 elements of matrix: ");
for(i=0;i<3;i++)
for(j=0;j<3;j++)
scanf("%d",&a[i][j]);
printf("\nThe matrix is\n");
for(i=0;i<3;i++)
{
printf("\n");
for(j=0;j<3;j++)
printf("%d\t",a[i][j]);
}
for(i=0;i<3;i++)
determinant = determinant + (a[0][i]*(a[1][(i+1)%3]*a[2][(i+2)%3] - a[1][(i+2)%3]*a[2][(i+1)%3]));
printf("\nInverse of matrix is: \n\n");
for(i=0;i<3;i++)
{
for(j=0;j<3;j++)
printf("%.2f\t",((a[(i+1)%3][(j+1)%3] * a[(i+2)%3][(j+2)%3]) - (a[(i+1)%3][(j+2)%3]*a[(i+2)%3][(j+1)%3]))/ determinant);
printf("\n");
}
return 0;
}
Output :
Enter the 9 elements of matrix:
3
5
2
1
5
8
3
9
2
The matrix is
3 5 2
1 5 8
3 9 2
Inverse of matrix is:
0.70 -0.25 0.07
-0.09 -0.00 0.14
-0.34 0.25 -0.11
Exponential series :
int main ()
{
int b,i;
float a,c;
printf("\nEnter base value a: ");
scanf("\n%f", &a);
printf("\nEnter exponent value b: ");
scanf("\n%i\n", &b);
c=1;
i=1;
while(i<=b)
{
c*=a;
i++;
}
printf("\nThe answer is %.2f", c);
return(0);
}
Recursive function for factorial in c
#include
int fact(int);
int fact(int);
int main()
{
int num,f;
printf("\nEnter a number: ");
scanf("%d",&num);
f=fact(num);
printf("\nFactorial of %d is: %d",num,f);
return 0;
}
int fact(int n)
{
if(n==1)
return 1;
else
return(n*fact(n-1));
}
Code to find determinant of a matrix
C program to calculate determinant of a matrix
#include
int main(){
int a[3][3],i,j;
int determinant=0;
printf("Enter the 9 elements of matrix: ");
for(i=0;i<3;i++)
for(j=0;j<3;j++)
scanf("%d",&a[i][j]);
printf("\nThe First matrix is\n");
for(i=0;i<3;i++){
printf("\n");
for(j=0;j<3;j++)
printf("%d\t",a[i][j]);
}
for(i=0;i<3;i++)
determinant = determinant + (a[0][i]*(a[1][(i+1)%3]*a[2][(i+2)%3] - a[1][(i+2)%3]*a[2][(i+1)%3]));
printf("\nDeterminant of matrix is: %d",determinant);
return 0;
}
C code for Determinant of 2X2 matrix:
#include
int main(){
int a[2][2],i,j;
long determinant;
printf("Enter the 4 elements of matrix: ");
for(i=0;i<2;i++)
for(j=0;j<2;j++)
scanf("%d",&a[i][j]);
printf("\nThe matrix is\n");
for(i=0;i<2;i++){
printf("\n");
for(j=0;j<2;j++)
printf("%d\t",a[i][j]);
}
determinant = a[0][0]*a[1][1] - a[1][0]*a[0][1];
printf("\nDeterminant of 2X2 matrix: %ld",determinant);
return 0;
}
Output :
Enter the 4 elements of matrix: 4
8
3
9
The matrix is
4 8
3 9
Determinant of 2X2 matrix: 12
C code for Determinant of 3X3 matrix:
#include
int main(){
int a[3][3],i,j;
long determinant;
printf("Enter the 9 elements of matrix: ");
for(i=0;i<3;i++)
for(j=0;j<3;j++)
scanf("%d",&a[i][j]);
printf("\nThe matrix is\n");
for(i=0;i<3;i++){
printf("\n");
for(j=0;j<3;j++)
printf("%d\t",a[i][j]);
}
determinant = a[0][0]*((a[1][1]*a[2][2]) - (a[2][1]*a[1][2])) -a[0][1]*(a[1][0]*a[2][2] - a[2][0]*a[1][2]) + a[0][2]*(a[1][0]*a[2][1] - a[2][0]*a[1][1]);
printf("\nDeterminant of 3X3 matrix: %ld",determinant);
return 0;
}
Sample output:
Enter the 9 elements of matrix: 1
2
3
4
5
6
7
8
9
The matrix is
1 2 3
4 5 6
7 8 9
Determinant of 3X3 matrix: 0
Alogrithm:
Determinant is possible only for square matrixes i.e. n by n matrixes.
Determinant of 2 by 2 matrix:
Determinant of matrix has defined as: ad – cb
Determinant of 3 by 3 matrix:
Determinant of matrix has defined as: a00(a11*a22 – a21*a12) + a01(a10*a22 – a20*a12) + a02(a10*a21 – a20*a11)
Code for swapping in c
#include
int main()
{
int a,b,temp;
printf("Enter any two integers: ");
scanf("%d%d",&a,&b);
printf("Before swapping: a = %d, b=%d",a,b);
temp= a;
a=b;
b=a;
printf("\nAfter swapping: a = %d, b=%d",a,b);
return 0;
}
C program for swapping of two numbers using pointers
#include
int main(){
int a,b;
int *ptra,*ptrb;
int *temp;
printf("Enter any two integers: ");
scanf("%d%d",&a,&b);
printf("Before swapping: a = %d, b=%d",a,b);
ptra = &a;
ptrb = &b;
temp = ptra;
*ptra = *ptrb;
*ptrb = *temp;
printf("\nAfter swapping: a = %d, b=%d",a,b);
return 0;
}
Sample output:
Enter any two integers: 5 10
Before swapping: a = 5, b=10
After swapping: a = 10, b=10
Swapping program in c using function
#include
void swap(int *,int *);
int main()
{
int a,b;
printf("Enter any two integers: ");
scanf("%d%d",&a,&b);
printf("Before swapping: a = %d, b=%d",a,b);
swap(&a,&b);
printf("\nAfter swapping: a = %d, b=%d",a,b);
return 0;
}
void swap(int *a,int *b)
{
int *temp;
temp = a;
*a=*b;
*b=*temp;
}
Sample output:
Enter any two integers: 3 6
Before swapping: a = 3, b=6
After swapping: a = 6, b=6
c
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