From 4cfbd5367a7c23495bac1cce4e7518a31ce602bd Mon Sep 17 00:00:00 2001
From: Arnav2708 <95859782+Arnav2708@users.noreply.github.com>
Date: Fri, 7 Oct 2022 17:49:08 +0530
Subject: [PATCH] Create Determinant_Solver.cpp

This code can solve any 3x3 determinant.
---
 Determinant_Solver.cpp | 44 ++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 44 insertions(+)
 create mode 100644 Determinant_Solver.cpp

diff --git a/Determinant_Solver.cpp b/Determinant_Solver.cpp
new file mode 100644
index 0000000..d3db252
--- /dev/null
+++ b/Determinant_Solver.cpp
@@ -0,0 +1,44 @@
+#include<iostream>
+#include<math.h>
+using namespace std;
+int determinant( int matrix[10][10], int n) {
+   int det = 0;
+   int submatrix[10][10];
+   if (n == 2)
+   return ((matrix[0][0] * matrix[1][1]) - (matrix[1][0] * matrix[0][1]));
+   else {
+      for (int x = 0; x < n; x++) {
+         int subi = 0;
+         for (int i = 1; i < n; i++) {
+            int subj = 0;
+            for (int j = 0; j < n; j++) {
+               if (j == x)
+               continue;
+               submatrix[subi][subj] = matrix[i][j];
+               subj++;
+            }
+            subi++;
+         }
+         det = det + (pow(-1, x) * matrix[0][x] * determinant( submatrix, n - 1 ));
+      }
+   }
+   return det;
+}
+int main() {
+   int n, i, j;
+   int matrix[10][10];
+   cout << "Enter the size of the matrix:\n";
+   cin >> n;
+   cout << "Enter the elements of the matrix:\n";
+   for (i = 0; i < n; i++)
+   for (j = 0; j < n; j++)
+   cin >> matrix[i][j];
+   cout<<"The entered matrix is:"<<endl;
+   for (i = 0; i < n; i++) {
+      for (j = 0; j < n; j++)
+      cout << matrix[i][j] <<" ";
+      cout<<endl;
+   }
+   cout<<"Determinant of the matrix is "<< determinant(matrix, n);
+   return 0;
+}