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# numpy.tril_indices() function | Python

• Last Updated : 22 Apr, 2020

`numpy.tril_indices()` function return the indices for the lower-triangle of an (n, m) array.

Syntax : numpy.tril_indices(n, k = 0, m = None)
Parameters :
n : [int] The row dimension of the arrays for which the returned indices will be valid.
k : [int, optional] Diagonal offset.
m : [int, optional] The column dimension of the arrays for which the returned arrays will be valid. By default m is taken equal to n.
Return : [tuple of arrays] The indices for the triangle. The returned tuple contains two arrays, each with the indices along one dimension of the array.

Code #1 :

 `# Python program explaining``# numpy.tril_indices() function`` ` `# importing numpy as geek ``import` `numpy as geek`` ` `gfg ``=` `geek.tril_indices(``3``)`` ` `print` `(gfg)`

Output :

```(array([0, 1, 1, 2, 2, 2]), array([0, 0, 1, 0, 1, 2]))
```

Code #2 :

 `# Python program explaining``# numpy.tril_indices() function`` ` `# importing numpy as geek ``import` `numpy as geek`` ` `gfg ``=` `geek.tril_indices(``3``, ``2``)`` ` `print` `(gfg)`

Output :

```(array([0, 0, 0, 1, 1, 1, 2, 2, 2]), array([0, 1, 2, 0, 1, 2, 0, 1, 2]))
```

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