def mult(matrix1: list, matrix2: list) -> list:
dims1 = mv.lengths(matrix1)
dims2 = mv.lengths(matrix2)
if dims1[1] != dims2[0] and not mv.is_scalar(matrix1):
raise Exception("Matrices' row and column does not match! \n\n"
+ str(mv.lengths(matrix1))
+ str(mv.lengths(matrix2))
)
result = initialize(dims1[0], dims2[1])
# vector
if mv.is_vector(matrix1) and mv.is_line_vector(matrix2):
return mult_core_vectors_to_square_matrix(matrix1, matrix2, result)
elif mv.is_line_vector(matrix1) and mv.is_vector(matrix2):
return mult_core_vectors_to_scalar(matrix1, matrix2, result)
# scalar
elif mv.is_scalar(matrix1):
return mult_core_scalar(matrix1, matrix2)
# matrix
else:
return mult_core_matrices(matrix1, matrix2, result)
def determinant(matrix: list, row= 0) -> float:
mv.validate_square_matrix(matrix)
result: float = 0
cofacs = []
if mv.is_2d(matrix) and mv.is_scalar(matrix[0]):
result = matrix[0][0]
else:
for det_col in range(len(matrix[row])):
cofacs.append(cofactor_adj(matrix, row, det_col))
for i in range(len(matrix[row])):
el = matrix[row][i]
result += el * cofacs[i]
return result
def test_is_not_scalar_matrix(self):
m = [[1, 2], [3, 4]]
self.assertEqual(mv.is_scalar(m), False)
def test_is_not_scalar_float(self):
e = 69
self.assertRaises(Exception, lambda: mv.is_scalar(e))
def test_is_scalar_nested(self):
e = [[69]]
self.assertEqual(mv.is_scalar(e), True)
def test_is_scalar(self):
e = [69]
self.assertEqual(mv.is_scalar(e), True)