# torch.linalg.det¶

torch.linalg.det(A, *, out=None)Tensor

Computes the determinant of a square matrix.

Supports input of float, double, cfloat and cdouble dtypes. Also supports batches of matrices, and if A is a batch of matrices then the output has the same batch dimensions.

Note

This function is computed using torch.lu(). When inputs are on a CUDA device, this function synchronizes that device with the CPU.

torch.linalg.slogdet() computes the sign (resp. angle) and natural logarithm of the absolute value (resp. modulus) of the determinant of real-valued (resp. complex) square matrices.

Parameters

A (Tensor) – tensor of shape (*, n, n) where * is zero or more batch dimensions.

Keyword Arguments

out (Tensor, optional) – output tensor. Ignored if None. Default: None.

Examples:

>>> A = torch.randn(3, 3)
>>> torch.linalg.det(A)
tensor(0.0934)

>>> A = torch.randn(3, 2, 2)
>>> torch.linalg.det(A)
tensor([1.1990, 0.4099, 0.7386])