code: def tridiagonal_matrix_filter(x):
      dim = x.shape[0]
      if ivy.abs(ivy.det(x)) < 1e-3:
          return False
      for i in range(dim):
          for j in range(dim):
              cell = x[i][j]
              if i in [j, j - 1, j + 1]:
                  if cell == 0:
                      return False
              else:
                  if cell != 0:
                      return False
      return True
  
imports: import numpy
  from hypothesis import assume, strategies
  import sys
  import ivy
  import ivy_tests.test_ivy.helpers
  from ivy_tests.test_ivy.helpers import handle_frontend_test, assert_all_close
  from ivy_tests.test_ivy.test_functional.test_core.test_linalg import _get_dtype_value1_value2_axis_for_tensordot
  from ivy_tests.test_ivy.helpers.hypothesis_helpers.general_helpers import matrix_is_stable
  from ivy_tests.test_ivy.test_functional.test_core.test_linalg import _matrix_rank_helper
label_desc: Use image node_id 42 for calling a global function with example usage: tridiagonal_matrix_filter(x) and returns: True, False, False, False