write a python class called matrix that represents a 2x2 matrix and implements matrix addition, subtraction, and multiplication. the class should accept two 2x2 matrices as inputs and output the results as new matrices in the same format.

Here is an example implementation of the `Matrix` class in Python that supports addition, subtraction, and multiplication of 2x2 matrices: ```python class Matrix: def __init__(self, a, b, c, d): self.matrix = [[a, b], [c, d]] def __str__(self): return '\n'.join([' '.join(map(str, row)) for row in self.matrix]) def __add__(self, other): result = [[0, 0], [0, 0]] for i in range(2): for j in range(2): result[i][j] = self.matrix[i][j] + other.matrix[i][j] return Matrix(*result[0], *result[1]) def __sub__(self, other): result = [[0, 0], [0, 0]] for i in range(2): for j in range(2): result[i][j] = self.matrix[i][j] - other.matrix[i][j] return Matrix(*result[0], *result[1]) def __mul__(self, other): result = [[0, 0], [0, 0]] for i in range(2): for j in range(2): for k in range(2): result[i][j] += self.matrix[i][k] * other.matrix[k][j] return Matrix(*result[0], *result[1]) # Example usage matrix1 = Matrix(1, 2, 3, 4) matrix2 = Matrix(5, 6, 7, 8) print("Matrix 1:") print(matrix1) print("\nMatrix 2:") print(matrix2) print("\nAddition:") print(matrix1 + matrix2) print("\nSubtraction:") print(matrix1 - matrix2) print("\nMultiplication:") print(matrix1 * matrix2) ``` This will output: ``` Matrix 1: 1 2 3 4 Matrix 2: 5 6 7 8 Addition: 6 8 10 12 Subtraction: -4 -4 -4 -4 Multiplication: 19 22 43 50 ``` [2024-11-16 22:40:55 | AI写代码神器 | 1039点数解答]