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16 changes: 16 additions & 0 deletions matrix/matrix_operation.py
Original file line number Diff line number Diff line change
Expand Up @@ -138,6 +138,21 @@ def determinant(matrix: list[list[int]]) -> Any:
)


def permanent(matrix: list[list[int]]) -> Any:
"""
>>> permanent([[1, 2], [3, 4]])
10
>>> permanent([[1.5, 2.5], [3, 4]])
13.5
"""
if len(matrix) == 1:
return matrix[0][0]

return sum(
x * permanent(minor(matrix, 0, i)) for i, x in enumerate(matrix[0])
)


def inverse(matrix: list[list[int]]) -> list[list[float]] | None:
"""
>>> inverse([[1, 2], [3, 4]])
Expand Down Expand Up @@ -193,6 +208,7 @@ def main() -> None:
print(f"Identity: {identity(5)}\n")
print(f"Minor of {matrix_c} = {minor(matrix_c, 1, 2)} \n")
print(f"Determinant of {matrix_b} = {determinant(matrix_b)} \n")
print(f"Permanent of {matrix_b} = {permanent(matrix_b)} \n")
print(f"Inverse of {matrix_d} = {inverse(matrix_d)}\n")


Expand Down