:nosearch:

.. _op_ai_onnx_Det-11:

Det - version 11
================

This page documents version **11** of operator **Det**. See :doc:`Det` for the latest version (since version 22).

- **Domain**: ``ai.onnx``
- **Since version**: 11

Det calculates determinant of a square matrix or batches of square matrices.
Det takes one input tensor of shape ``[*, M, M]``, where ``*`` is zero or more batch dimensions,
and the inner-most 2 dimensions form square matrices.
The output is a tensor of shape ``[*]``, containing the determinants of all input submatrices.
e.g., When the input is 2-D, the output is a scalar(shape is empty: ``[]``).

**Inputs**

- **X** (*T*): Input tensor

**Outputs**

- **Y** (*T*): Output tensor

**Type Constraints**

- **T**: Constrain input and output types to floating-point tensors.
  Allowed types: tensor(double), tensor(float), tensor(float16).

Examples
--------

**test_cc_det_2d**

.. code-block:: text

    Node:
      Det(X) -> (Y)

.. code-block:: text

    Inputs:
      X: shape=(2, 2), dtype=float32
        [[0., 1.],
         [2., 3.]]

    Outputs:
      Y: shape=(), dtype=float32
        -2.

**test_cc_det_nd**

.. code-block:: text

    Node:
      Det(X) -> (Y)

.. code-block:: text

    Inputs:
      X: shape=(3, 2, 2), dtype=float32
        [[[1., 2.],
          [3., 4.]],
        
         [[1., 2.],
          [2., 1.]],
        
         [[1., 3.],
          [3., 1.]]]

    Outputs:
      Y: shape=(3,), dtype=float32
        [-1.9999999, -3.       , -8.       ]