# mirrors / TheAlgorithms / Python 大约 18 小时 前同步成功

### fixup! Format Python code with psf/black push

 ... ... @@ -27,9 +27,11 @@ def subtract(matrix_a: List[list], matrix_b: List[list]) -> List[list]: >>> subtract([[1,2.5],[3,4]],[[2,3],[4,5.5]]) [[-1, -0.5], [-1, -1.5]] """ if _check_not_integer(matrix_a)\ and _check_not_integer(matrix_b)\ and _verify_matrix_sizes(matrix_a, matrix_b): if ( _check_not_integer(matrix_a) and _check_not_integer(matrix_b) and _verify_matrix_sizes(matrix_a, matrix_b) ): return [[i - j for i, j in zip(*m)] for m in zip(matrix_a, matrix_b)] ... ... @@ -60,8 +62,9 @@ def multiply(matrix_a: List[list], matrix_b: List[list]) -> List[list]: f"Cannot multiply matrix of dimensions ({rows[0]},{cols[0]}) " f"and ({rows[1]},{cols[1]})" ) return [[sum(m * n for m, n in zip(i, j)) for j in zip(*matrix_b)] for i in matrix_a] return [ [sum(m * n for m, n in zip(i, j)) for j in zip(*matrix_b)] for i in matrix_a ] def identity(n: int) -> List[list]: ... ... @@ -95,8 +98,8 @@ def minor(matrix: List[list], row: int, column: int) -> List[list]: >>> minor([[1, 2], [3, 4]], 1, 1) [[1]] """ minor = matrix[: row] + matrix[row + 1:] return [row[:column] + row[column + 1:] for row in minor] minor = matrix[:row] + matrix[row + 1 :] return [row[:column] + row[column + 1 :] for row in minor] def determinant(matrix: List[list]) -> int: ... ... @@ -109,8 +112,10 @@ def determinant(matrix: List[list]) -> int: if len(matrix) == 1: return matrix[0][0] return sum(x * determinant(minor(matrix, 0, i)) * (-1) ** i for i, x in enumerate(matrix[0])) return sum( x * determinant(minor(matrix, 0, i)) * (-1) ** i for i, x in enumerate(matrix[0]) ) def inverse(matrix: List[list]) -> List[list]: ... ... @@ -124,9 +129,10 @@ def inverse(matrix: List[list]) -> List[list]: if det == 0: return None matrix_minor = [[determinant(minor(matrix, i, j)) for j in range(len(matrix))] for i in range(len(matrix))] matrix_minor = [ [determinant(minor(matrix, i, j)) for j in range(len(matrix))] for i in range(len(matrix)) ] cofactors = [ [x * (-1) ** (row + col) for col, x in enumerate(matrix_minor[row])] ... ... @@ -159,14 +165,10 @@ def _verify_matrix_sizes(matrix_a: List[list], matrix_b: List[list]) -> Tuple[li def main(): matrix_a = [[12, 10], [3, 9]] matrix_b = [[3, 4], [7, 4]] matrix_c = [[11, 12, 13, 14], [21, 22, 23, 24], [31, 32, 33, 34], [41, 42, 43, 44]] matrix_c = [[11, 12, 13, 14], [21, 22, 23, 24], [31, 32, 33, 34], [41, 42, 43, 44]] matrix_d = [[3, 0, 2], [2, 0, -2], [0, 1, 1]] print( f"Add Operation, {add(matrix_a, matrix_b) = } \n") print( f"Multiply Operation, {multiply(matrix_a, matrix_b) = } \n", ) print(f"Add Operation, {add(matrix_a, matrix_b) = } \n") print(f"Multiply Operation, {multiply(matrix_a, matrix_b) = } \n",) 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") ... ...
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