C Program to Find Basis and Dimension of a Matrix

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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:

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$ 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

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Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He is Linux Kernel Developer & SAN Architect and is passionate about competency developments in these areas. He lives in Bangalore and delivers focused training sessions to IT professionals in Linux Kernel, Linux Debugging, Linux Device Drivers, Linux Networking, Linux Storage, Advanced C Programming, SAN Storage Technologies, SCSI Internals & Storage Protocols such as iSCSI & Fiber Channel. Stay connected with him @ LinkedIn | Youtube | Instagram | Facebook | Twitter