写一个 4X4 以内的不同的旋转角度的矩阵的程序

当然可以，这里是一个简单的Python程序，用于生成一个4x4矩阵的不同旋转角度（90度、180度和270度），假设我们有一个原始矩阵`matrix`：

def rotate_matrix(matrix):
    # 90度顺时针旋转
    def rotate_90():
        return [list(row)[::-1] for row in matrix]

    # 180度旋转
    def rotate_180():
        return [[row[i] for row in reversed(matrix)] for i in range(len(matrix[0]))]

    # 270度顺时针旋转
    def rotate_270():
        return [[matrix[j][i] for j in range(len(matrix)-1, -1, -1)] for i in range(len(matrix))]

    # 显示原始矩阵和旋转后的矩阵
    print("Original Matrix:")
    for row in matrix:
        print(row)

    print("\nRotation Options:")
    print(f"1. 90 degrees clockwise")
    print(f"2. 180 degrees")
    print(f"3. 270 degrees clockwise")

    choice = int(input("Enter your choice (1, 2, or 3): "))
    if choice == 1:
        rotated = rotate_90()
    elif choice == 2:
        rotated = rotate_180()
    elif choice == 3:
        rotated = rotate_270()
    else:
        print("Invalid choice. Returning the original matrix.")
        rotated = matrix

    print("\nRotated Matrix:")
    for row in rotated:
        print(row)
    
# 示例4x4矩阵
matrix = [
    [1, 2, 3, 4],
    [5, 6, 7, 8],
    [9, 10, 11, 12],
    [13, 14, 15, 16]
]

rotate_matrix(matrix)

运行这个程序，你可以输入选择的旋转选项，它会按照所选的角度显示旋转后的矩阵。