code: def woodbury_matrix(A: np.ndarray, U: np.ndarray, V: np.ndarray):
      """Woodbury matrix identity.
  
      This is an inplace function.
  
      Parameters
      ----------
      A
      U
      V
  
      References
      ----------
      [^1]: [Matrix inverse mini-batch updates — Max Halford](https://maxhalford.github.io/blog/matrix-inverse-mini-batch/)
  
      """
      eye = np.eye(len(V))
      Au = A @ U
      A -= Au @ np.linalg.inv(eye + V @ Au) @ V @ A
  
imports: from __future__ import annotations
  import functools
  import itertools
  import math
  import operator
  import numpy
  import scipy
label_desc: Use image node_id 15 for calling a global function with example usage: woodbury_matrix(A, U, V) without return types