python代码：分块对角矩阵，其中的每个分块矩阵等于不同数值和单位矩阵的乘积

以下是实现分块对角矩阵的 Python 代码：

import numpy as np

def block_diagonal_matrix(block_sizes, block_values):
    """
    Create a block diagonal matrix with different values for each block.

    Parameters:
    block_sizes: list of integers, sizes of each block
    block_values: list of 2D arrays, values for each block

    Returns:
    The block diagonal matrix as a 2D array.
    """
    n = sum(block_sizes)
    result = np.zeros((n, n))
    start = 0
    for size, value in zip(block_sizes, block_values):
        result[start:start+size, start:start+size] = value * np.eye(size)
        start += size
    return result

其中，`block_sizes` 是每个分块矩阵的大小，`block_values` 是每个分块矩阵的数值。该函数会返回一个分块对角矩阵，其中的每个分块矩阵等于对应数值和单位矩阵的乘积。