feat(det): add determinant based on LU decomposition

Author: zafarali

src/abstractMatrix.js

@@ -2,6 +2,7 @@
 
 module.exports = abstractMatrix;
 
+var LuDecomposition = require('./dc/lu');
 var arrayUtils = require('ml-array-utils');
 var util = require('./util');
 var MatrixTransposeView = require('./views/transpose');
@@ -1511,7 +1512,6 @@ function abstractMatrix(superCtor) {
         * 
         * @return {number}
         */
-
         det(){
             if(this.isSquare()){
                 if(this.columns === 2){
@@ -1539,9 +1539,8 @@ function abstractMatrix(superCtor) {
                     return a * subMatrix0.det()  - b * subMatrix1.det() + c * subMatrix2.det();
 
                 }else{
-                    // general purpose determinant
-                    
-                    throw Error('Not implemented yet');
+                    // general purpose determinant using the LU decomposition
+                    return new LuDecomposition(this, {skipCheck:true}).determinant;
                 }
 
             }else{

src/dc/lu.js

@@ -3,11 +3,16 @@
 var Matrix = require('../matrix');
 
 // https://github.com/lutzroeder/Mapack/blob/master/Source/LuDecomposition.cs
-function LuDecomposition(matrix) {
+function LuDecomposition(matrix, options) {
     if (!(this instanceof LuDecomposition)) {
         return new LuDecomposition(matrix);
     }
-    matrix = Matrix.checkMatrix(matrix);
+
+    options = options || {};
+
+    if(!options.skipCheck){
+        matrix = Matrix.checkMatrix(matrix);
+    }
 
     var lu = matrix.clone(),
         rows = lu.rows,