code: def det(a: ArrayLike) -> Array:
      check_arraylike("jnp.linalg.det", a)
      (a,) = promote_dtypes_inexact(jnp.asarray(a))
      a_shape = jnp.shape(a)
      if len(a_shape) >= 2 and a_shape[-1] == 2 and a_shape[-2] == 2:
          return _det_2x2(a)
      elif len(a_shape) >= 2 and a_shape[-1] == 3 and a_shape[-2] == 3:
          return _det_3x3(a)
      elif len(a_shape) >= 2 and a_shape[-1] == a_shape[-2]:
          sign, logdet = slogdet(a)
          return sign * ufuncs.exp(logdet).astype(sign.dtype)
      else:
          msg = "Argument to _det() must have shape [..., n, n], got {}"
          raise ValueError(msg.format(a_shape))
  
imports: from __future__ import annotations
  from collections.abc import Sequence
  from functools import partial
  import numpy
  import textwrap
  import operator
  from typing import Literal, cast, overload
  import jax
  from jax import jit, custom_jvp
  from jax import lax
  from jax._src.lax import lax
  from jax._src.lax import linalg
  from jax._src.numpy import lax_numpy
  from jax._src.numpy import reductions, ufuncs
  from jax._src.numpy.util import _wraps, promote_dtypes_inexact, check_arraylike
  from jax._src.util import canonicalize_axis
  from jax._src.typing import ArrayLike, Array
label_desc: Use image node_id 19 for calling a global function with example usage: det(a) and returns: _det_2x2, _det_3x3, unknown