1. Question:How to find inverse of a matrix in c 

    Answer
    #include<stdio.h>
    
    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;
    }
    Sample 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






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  2. Question:C code to print or display lower triangular matrix 

    Answer
    #include<stdio.h>
    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]);
      }
    
       printf("\nSetting zero in upper triangular matrix\n");
       for(i=0;i<3;i++){
          printf("\n");
          for(j=0;j<3;j++)
               if(i<=j)
                 printf("%d\t",a[i][j]);
               else
                 printf("%d\t",0);
      }
    
    
       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 Setting zero in upper triangular matrix 1 2 3 0 5 6 0 0 9






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  3. Question:C code to print or display upper triangular matrix 

    Answer
    #include<stdio.h>
    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]);
      }
    
       printf("\nSetting zero in upper triangular matrix\n");
       for(i=0;i<3;i++){
          printf("\n");
          for(j=0;j<3;j++)
               if(i>=j)
                 printf("%d\t",a[i][j]);
               else
                 printf("%d\t",0);
      }
    
    
       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 Setting zero in upper triangular matrix 1 0 0 4 5 0 7 8 9






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  4. Question:C code of two 2 by 2 matrix multiplication using Strassen algorithm 

    Answer
    #include<stdio.h>
    int main(){
      int a[2][2],b[2][2],c[2][2],i,j;
      int m1,m2,m3,m4,m5,m6,m7;
    
      printf("Enter the 4 elements of first matrix: ");
      for(i=0;i<2;i++)
          for(j=0;j<2;j++)
               scanf("%d",&a[i][j]);
    
      printf("Enter the 4 elements of second matrix: ");
      for(i=0;i<2;i++)
          for(j=0;j<2;j++)
               scanf("%d",&b[i][j]);
    
      printf("\nThe first matrix is\n");
      for(i=0;i<2;i++){
          printf("\n");
          for(j=0;j<2;j++)
               printf("%d\t",a[i][j]);
      }
    
      printf("\nThe second matrix is\n");
      for(i=0;i<2;i++){
          printf("\n");
          for(j=0;j<2;j++)
               printf("%d\t",b[i][j]);
      }
    
      m1= (a[0][0] + a[1][1])*(b[0][0]+b[1][1]);
      m2= (a[1][0]+a[1][1])*b[0][0];
      m3= a[0][0]*(b[0][1]-b[1][1]);
      m4= a[1][1]*(b[1][0]-b[0][0]);
      m5= (a[0][0]+a[0][1])*b[1][1];
      m6= (a[1][0]-a[0][0])*(b[0][0]+b[0][1]);
      m7= (a[0][1]-a[1][1])*(b[1][0]+b[1][1]);
    
      c[0][0]=m1+m4-m5+m7;
      c[0][1]=m3+m5;
      c[1][0]=m2+m4;
      c[1][1]=m1-m2+m3+m6;
    
       printf("\nAfter multiplication using \n");
       for(i=0;i<2;i++){
          printf("\n");
          for(j=0;j<2;j++)
               printf("%d\t",c[i][j]);
       }
    
       return 0;
    }
    Sample output: Enter the 4 elements of first matrix: 1 2 3 4 Enter the 4 elements of second matrix: 5 6 7 8 The first matrix is 1 2 3 4 The second matrix is 5 6 7 8 After multiplication using 19 22 43 50






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  5. Question:C program to calculate determinant of a matrix 

    Answer
    #include<stdio.h>
    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;
    }






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