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Title To Calculate Determinant of a Matrix Using Recursion
Author Ankit Chaudhary
Author Email ankitchaudhary1985 [at] yahoo.co.in
Description This is a simple program implementing the concept of recursion to calculate the determinant of a matrix of any order.
Category C++ » Mathematics
Hits 55192
Code Select and Copy the Code
Code: //TO CALCULATE THE DETERMINANT OF MATRIX OF ANY ORDER USING RECURSION #include<iostream.h> #include<conio.h> #include<math.h> #include<process.h> void main() { int determinant(int[5][5],int);// FUNCTIONS void read(int[5][5],int); void print(int[5][5],int); // PROTOYPES int a[5][5],l,n; int result; l1:clrscr(); cout<<" ENTER ORDER OF MATRIX(MAX. OF 4X4):"; cin>>l>>n; if(l!=n) { //TESTING CONDITION cout<<" SORRY!!!!!\n ONLY SQUARE MATRIX"; goto l1; } read(a,n); result = determinant(a,n); print(a,n); cout<<" THE DETERMINANT OF THE ABOVE MATRIX IS:"<<result; getch(); } void read(int b[5][5],int m) //FUNCTION FOR READING MATRIX { cout<<" ENTER "<<m*m<<" ELEMENTS OF MATRIX(ROW-WISE):"; for(int i=0;i<m;i++) for(int j=0;j<m;j++) cin>>b[i][j]; } void print(int b[5][5],int m) { clrscr(); //FUNCTION FOR PRINTING MATRIX cout<<" MATRIX IS :- "; for(int i=0;i<m;i++) { cout<<" "; for(int j=0;j<m;j++) cout<<" "<<b[i][j]; } } int determinant(int b[5][5],int m) //FUNCTION TO CALCULATE DETERMINANT { int i,j,sum = 0,c[5][5]; if(m==2) { //BASE CONDITION sum = b[0][0]*b[1][1] - b[0][1]*b[1][0]; return sum; } for(int p=0;p<m;p++) { int h = 0,k = 0; for(i=1;i<m;i++) { for( j=0;j<m;j++) { if(j==p) continue; c[h][k] = b[i][j]; k++; if(k == m-1) { h++; k = 0; } } } sum = sum + b[0][p]*pow(-1,p)*determinant(c,m-1); } return sum; }

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