mirror of
https://github.com/DeaDvey/mathgenerator.git
synced 2025-11-28 06:25:23 +01:00
83 lines
2.9 KiB
Python
83 lines
2.9 KiB
Python
from .__init__ import *
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import sympy
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def matrixInversion(SquareMatrixDimension=3,
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MaxMatrixElement=99,
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OnlyIntegerElementsInInvertedMatrix=False):
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if OnlyIntegerElementsInInvertedMatrix is True:
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isItOk = False
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Mat = list()
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while (isItOk is False):
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Mat = list()
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for i in range(0, SquareMatrixDimension):
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z = list()
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for j in range(0, SquareMatrixDimension):
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z.append(0)
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z[i] = 1
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Mat.append(z)
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MaxAllowedMatrixElement = math.ceil(
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pow(MaxMatrixElement, 1 / (SquareMatrixDimension)))
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randomlist = random.sample(range(0, MaxAllowedMatrixElement + 1),
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SquareMatrixDimension)
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for i in range(0, SquareMatrixDimension):
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if i == SquareMatrixDimension - 1:
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Mat[0] = [
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j + (k * randomlist[i])
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for j, k in zip(Mat[0], Mat[i])
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]
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else:
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Mat[i + 1] = [
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j + (k * randomlist[i])
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for j, k in zip(Mat[i + 1], Mat[i])
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]
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for i in range(1, SquareMatrixDimension - 1):
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Mat[i] = [
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sum(i) for i in zip(Mat[SquareMatrixDimension - 1], Mat[i])
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]
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isItOk = True
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for i in Mat:
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for j in i:
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if j > MaxMatrixElement:
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isItOk = False
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break
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if isItOk is False:
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break
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random.shuffle(Mat)
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Mat = sympy.Matrix(Mat)
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Mat = sympy.Matrix.transpose(Mat)
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Mat = Mat.tolist()
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random.shuffle(Mat)
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Mat = sympy.Matrix(Mat)
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Mat = sympy.Matrix.transpose(Mat)
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else:
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randomlist = list(sympy.primerange(0, MaxMatrixElement + 1))
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plist = random.sample(randomlist, SquareMatrixDimension)
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randomlist = random.sample(
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range(0, MaxMatrixElement + 1),
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SquareMatrixDimension * SquareMatrixDimension)
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randomlist = list(set(randomlist) - set(plist))
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n_list = random.sample(
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randomlist, SquareMatrixDimension * (SquareMatrixDimension - 1))
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Mat = list()
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for i in range(0, SquareMatrixDimension):
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z = list()
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z.append(plist[i])
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for j in range(0, SquareMatrixDimension - 1):
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z.append(n_list[(i * SquareMatrixDimension) + j - i])
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random.shuffle(z)
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Mat.append(z)
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Mat = sympy.Matrix(Mat)
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problem = 'Inverse of Matrix ' + str(Mat) + ' is:'
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solution = str(sympy.Matrix.inv(Mat))
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return problem, solution
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invert_matrix = Generator("Inverse of a Matrix", 74, "Inverse of a matrix A is",
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"A^(-1)", matrixInversion)
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