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from fractions import Fraction
# [[1, 2, 3],
# [4, 5, 6],
# [7, 8, 9]]
class Matrix:
def __init__(self, info=None):
if info is None:
info = [[0]] # 1x1 matrix
self.value = info
self.rows = len(self.value)
self.cols = len(self.value[0])
def get_determinant(self):
if not (self.rows == self.cols == 2):
raise Exception("Too lazy to code other than 2x2 matrices :P")
return self.value[0][0] * self.value[-1][-1] - self.value[0][-1] * self.value[-1][0]
def get_adjugate(self):
if not (self.rows == self.cols == 2):
raise Exception("Too lazy to code other than 2x2 matrices :P")
out = [[self.value[-1][-1], -self.value[0][1]],
[-self.value[1][0], self.value[0][0]]]
return Matrix(out)
def get_inverse(self, fraction=False):
return MultiplyScalar(1 / self.get_determinant(), self.get_adjugate(), fraction)
def DotProduct(lis1, lis2):
dot_product = 0
for ele1, ele2 in zip(lis1, lis2):
dot_product += ele1 * ele2
return dot_product
def MultiplyMatrices(matrix1, matrix2):
if matrix1.cols != matrix2.rows:
raise ValueError(f"Multiplication is not defined between these two matrices: {matrix1} and {matrix2}")
output_matrix = []
for row in range(matrix1.rows):
output_matrix.append([])
for col in range(matrix2.cols):
r = matrix1.value[row]
c = []
for i in range(matrix2.rows):
c.append(matrix2.value[i][col])
output_matrix[row].append(DotProduct(r, c))
return Matrix(output_matrix)
def MultiplyScalar(value, matrix, fraction=False):
out = [[] for _ in range(matrix.rows)]
for i, row in enumerate(matrix.value):
for col in row:
if fraction:
out[i].append(str(Fraction.from_float(col / (1/value)).limit_denominator()))
else:
out[i].append(col * value)
return Matrix(out)
def get_matrix_from_input():
# rows = int(input("Enter the number of rows: "))
# cols = int(input("Enter the number of cols: "))
print("Enter the values of the matrix with spaces in between entries and an empty line to finish.")
out = []
row = 0
while True:
user_input = input(f"Enter row {row+1}: ")
if user_input == "":
break
else:
out.append(list(map(float, user_input.split())))
row += 1
return Matrix(out)
def print_matrix(matrix):
for row in matrix.value:
print(*row)
# print("Matrix Calculator")
# matrix1 = get_matrix_from_input()
# matrix2 = get_matrix_from_input()
#
# print_matrix(MultiplyMatrices(matrix1.get_inverse(), matrix2))
# print_matrix(MultiplyMatrices(matrix1, matrix2))
# print(matrix1.get_determinant())
# print_matrix(matrix1.get_inverse(True))
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