From 578741110ff906a74bb8d969a23f5b65c8c39c83 Mon Sep 17 00:00:00 2001
From: youngbizman <63377152+youngbizman@users.noreply.github.com>
Date: Fri, 4 Feb 2022 18:38:13 +0330
Subject: [PATCH] new algorithm for matrix determinant

---
 lib/numbers/matrix.js | 24 ++++++++++++------------
 1 file changed, 12 insertions(+), 12 deletions(-)

diff --git a/lib/numbers/matrix.js b/lib/numbers/matrix.js
index 8a6aa5e..6f54b10 100644
--- a/lib/numbers/matrix.js
+++ b/lib/numbers/matrix.js
@@ -274,20 +274,20 @@ matrix.determinant = function (m) {
   } else if (numRow === 2) {
     return m[0][0] * m[1][1] - m[0][1] * m[1][0];
   }
-
-  for (col = 0; col < numCol; col++) {
-    diagLeft = m[0][col];
-    diagRight = m[0][col];
-
-    for (row = 1; row < numRow; row++) {
-      diagRight *= m[row][(((col + row) % numCol) + numCol) % numCol];
-      diagLeft *= m[row][(((col - row) % numCol) + numCol) % numCol];
+  var indexColumn = 0;
+  var result = 0;
+  var numberOfAddedRows = 0;
+  while(indexColumn < numCol){
+    numberOfAddedRows = 0;
+    var newArray = new Array();
+    while(numberOfAddedRows < numRow - 1){
+      newArray.push(m[numberOfAddedRows + 1].slice(0, indexColumn).concat(m[numberOfAddedRows + 1].slice(indexColumn + 1)))
+      numberOfAddedRows++;
     }
-
-    det += diagRight - diagLeft;
+    result += Math.pow(-1, indexColumn) * m[0][indexColumn] * matrix.determinant(newArray);
+    indexColumn++;
   }
-
-  return det;
+  return result;
 };
 
 /**