Merge pull request #236 from Gourav2000/master

added matrix Inversion

dev-requirements.txt

@@ -2,3 +2,4 @@ pytest
 hypothesis
 flake8
 autopep8
+sympy

mathgenerator/funcs/__init__.py

@@ -76,3 +76,4 @@ from .angleBtwVectorsFunc import *
 from .absoluteDifferenceFunc import *
 from .vectorDotFunc import *
 from .binary2sComplement import *
+from .matrixInversion import *

mathgenerator/funcs/matrixInversion.py

@@ -0,0 +1,68 @@
+from .__init__ import *
+
+def matrixInversion(SquareMatrixDimension=3, MaxMatrixElement=99, OnlyIntegerElementsInInvertedMatrix=False):
+    if OnlyIntegerElementsInInvertedMatrix is True:
+        isItOk = False
+        Mat = list()
+        while (isItOk is False):
+            Mat = list()
+            for i in range(0, SquareMatrixDimension):
+                z = list()
+                for j in range(0, SquareMatrixDimension):
+                    z.append(0)
+                z[i] = 1
+                Mat.append(z)
+            MaxAllowedMatrixElement = math.ceil(
+                pow(MaxMatrixElement, 1 / (SquareMatrixDimension)))
+            randomlist = random.sample(
+                range(0, MaxAllowedMatrixElement + 1), SquareMatrixDimension)
+
+            for i in range(0, SquareMatrixDimension):
+                if i == SquareMatrixDimension - 1:
+                    Mat[0] = [j + (k * randomlist[i])
+                              for j, k in zip(Mat[0], Mat[i])]
+                else:
+                    Mat[i + 1] = [j + (k * randomlist[i])
+                                  for j, k in zip(Mat[i + 1], Mat[i])]
+
+            for i in range(1, SquareMatrixDimension - 1):
+                Mat[i] = [sum(i)
+                          for i in zip(Mat[SquareMatrixDimension - 1], Mat[i])]
+
+            isItOk = True
+            for i in Mat:
+                for j in i:
+                    if j > MaxMatrixElement:
+                        isItOk = False
+                        break
+                if isItOk is False:
+                    break
+
+        random.shuffle(Mat)
+        Mat = sympy.Matrix(Mat)
+        Mat = sympy.Matrix.transpose(Mat)
+        Mat = Mat.tolist()
+        random.shuffle(Mat)
+        Mat = sympy.Matrix(Mat)
+        Mat = sympy.Matrix.transpose(Mat)
+
+    else:
+        randomlist = list(sympy.primerange(0, MaxMatrixElement + 1))
+        plist = random.sample(randomlist, SquareMatrixDimension)
+        randomlist = random.sample(
+            range(0, MaxMatrixElement + 1), SquareMatrixDimension * SquareMatrixDimension)
+        randomlist = list(set(randomlist) - set(plist))
+        n_list = random.sample(
+            randomlist, SquareMatrixDimension * (SquareMatrixDimension - 1))
+        Mat = list()
+        for i in range(0, SquareMatrixDimension):
+            z = list()
+            z.append(plist[i])
+            for j in range(0, SquareMatrixDimension - 1):
+                z.append(n_list[(i * SquareMatrixDimension) + j - i])
+            random.shuffle(z)
+            Mat.append(z)
+        Mat = sympy.Matrix(Mat)
+    problem = 'Inverse of Matrix ' + str(Mat) + ' is:'
+    solution = str(sympy.Matrix.inv(Mat))
+    return problem, solution

mathgenerator/mathgen.py

@@ -1,6 +1,7 @@
 import random
 import math
 import fractions
+import sympy
 from .funcs import *
 
 genList = []
@@ -161,3 +162,4 @@ angleBtwVectors=Generator("Angle between 2 vectors", 70, "Angle Between 2 vector
 absoluteDifference=Generator("Absolute difference between two numbers", 71, "Absolute difference betweeen two numbers a and b =", "|a-b|", absoluteDifferenceFunc)
 vectorDot = Generator("Dot Product of 2 Vectors", 72, "a . b = ", "c", vectorDotFunc)
 binary2sComplement = Generator("Binary 2's Complement", 73, "2's complement of 11010110 =", "101010", binary2sComplementFunc)
+invertmatrix = Generator("Inverse of a Matrix", 74, "Inverse of a matrix A is", "A^(-1)", matrixInversion)