C Program to Find Basis and Dimension of a Matrix

«
»
This is a C Program to find the basis and dimension of the given matrix.

Here is source code of the C Program to Find Basis and Dimension of a Matrix. The C program is successfully compiled and run on a Linux system. The program output is also shown below.

  1. #include<stdio.h>
  2.  
  3. int main() {
  4.  
  5.     int a[3][3], i, j;
  6.  
  7.     long determinant;
  8.     printf("Enter the 9 elements of matrix: ");
  9.     for (i = 0; i < 3; i++)
  10.         for (j = 0; j < 3; j++)
  11.             scanf("%d", &a[i][j]);
  12.  
  13.     printf("\nThe matrix is\n");
  14.     for (i = 0; i < 3; i++) {
  15.         printf("\n");
  16.         for (j = 0; j < 3; j++)
  17.             printf("%d\t", a[i][j]);
  18.     }
  19.  
  20.     determinant = a[0][0] * ((a[1][1] * a[2][2]) - (a[2][1] * a[1][2]))
  21.             - a[0][1] * (a[1][0] * a[2][2] - a[2][0] * a[1][2]) + a[0][2]
  22.             * (a[1][0] * a[2][1] - a[2][0] * a[1][1]);
  23.  
  24.     if (determinant != 0)
  25.         printf("The vectors forms the basis of R %d as the determinant is non-zero", 3);
  26.     else
  27.         printf("The vectors doesn't form the basis of R %d as the determinant is zero", 3);
  28.  
  29.     return 0;
  30. }

Output:

advertisement
$ gcc BasisDimension.cpp
$ ./a.out
 
Enter the number of vectors:
3
Enter the vectors one by one:
1 2 3
2 3 4
3 4 5
The vectors doesn't form the basis of R3 as the determinant is zero

Sanfoundry Global Education & Learning Series – 1000 C Programs.

Sanfoundry Certification Contest of the Month is Live. 100+ Subjects. Participate Now!
advertisement
advertisement

Here’s the list of Best Books in C Programming, Data Structures and Algorithms.

advertisement
advertisement
Subscribe to our Newsletters (Subject-wise). Participate in the Sanfoundry Certification contest to get free Certificate of Merit. Join our social networks below and stay updated with latest contests, videos, internships and jobs!

Youtube | Telegram | LinkedIn | Instagram | Facebook | Twitter | Pinterest
Manish Bhojasia - Founder & CTO at Sanfoundry
Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He lives in Bangalore, and focuses on development of Linux Kernel, SAN Technologies, Advanced C, Data Structures & Alogrithms. Stay connected with him at LinkedIn.

Subscribe to his free Masterclasses at Youtube & technical discussions at Telegram SanfoundryClasses.