Problem Solving Through Programming In C Nptel Assignment Answers Week 10 | NPTEL Week 10 Programming Assignment | NPTEL Assignment Solutions

NPTEL Problem Solving Trough Programming In C Week 10 Programming Assignment | NPTEL Swayam Assignment Answers

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Nptel Week 10 Programming Assignment Answers:

Q.1: Write a C program to find the root of the equation using bisection method for different values of allowable error of the root.

Code:

do{ if (fun(a)*fun(x)<0){ b=x; } else{ a=x; } bisection (&x1,a,b,&itr); if(((x1-x)<0 && -(x1-x)<allerr) || ((x1-x)>0 && (x1-x)<allerr)) { printf("Root = %1.4f\n", x1); return 0; } x=x1; }while (itr<maxmitr); return 1; } float fun (float x){ return (2*x*x*x-3*x-5); } void bisection(float *x,float a,float b,int *itr){ *x=(a+b)/2; ++(*itr); }

Q.2: Write a C program to find the root of the equation using Newton Raphson method.

Code:

float h; for (int i=1;i<=maxmitr;i++){ h=f(x0)/df(x0); x1=x0-h; x0=x1; } printf("Root = %8.6f\n", x1); return 0; } float f(float x){ return x*x*x-2*x-3; } float df (float x){ return 3*x*x-2; }

Q.3: Write a C program to sort a given 1D array using pointer in ascending order.

Code:

int temp; for(i=0;i<n;i++){ for(int j=0;j<n;j++){ if(*(a+i)<*(a+j)){ temp=*(a+i); *(a+i)=*(a+j); *(a+j)=temp; } } }

Q.4: Write a C code to check if a 3 x 3 matrix is invertible. A matrix is not invertible if its determinant is 0.

Code:

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])); if(determinant==0){ printf("The given matrix is not invertible"); } else{ printf("The given matrix is invertible"); } return 0; }

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