[Cherry-pick]Det &Slogdet (#34992)

[huangxu96]

PR types

New features

PR changes

APIs

Describe

Cherry-pick :#34992

Add new API : paddle.linalg.det & paddle.linalg.slogdet

API Alias：paddle.det& paddle.slogdet

Example:

paddle.det():

Calculates the determinant value of a square matrix or batches of square matrices.

Supports the input of float, double

Args:
x (Tensor): input (Tensor): the input matrix of size (n, n) or the batch of matrices of size
(*, n, n) where * is one or more batch dimensions.

Returns:
y (Tensor): the determinant value of a square matrix or batches of square matrices.

Example: 
    .. code-block:: python

    import paddle

    x =  paddle.randn([3,3,3])

    A = paddle.det(x)

    print(A)

    # [ 0.02547996,  2.52317095, -6.15900707])

paddle.slogdet():

Calculates the sign and natural logarithm of the absolute value of a square matrix's or batches square matrices' determinant.
The determinant can be computed with ``sign * exp(logabsdet)

Supports the input of float, double

Note that for matrices that have zero determinant, this returns (0, -inf)

Args:
x (Tensor): the batch of matrices of size : math:(*, n, n)
where math:* is one or more batch dimensions.

Returns:
y (Tensor): A tensor containing the sign of the determinant and the natural logarithm
of the absolute value of determinant, respectively.

Example:
.. code-block:: python

    import paddle

    x =  paddle.randn([3,3,3])

    A = paddle.slogdet(x)

    print(A)

    # [[ 1.        ,  1.        , -1.        ],
    # [-0.98610914, -0.43010661, -0.10872950]])

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[huangxu96]

Merged in #36083