tfg.geometry.transformation.rotation_matrix_common.is_valid

Determines if a matrix in K-dimensions is a valid rotation matrix.

tfg.geometry.transformation.rotation_matrix_common.is_valid(
    matrix, atol=0.001, name='rotation_matrix_common_is_valid'
)

Determines if a matrix

$$\mathbf{R}$$

is a valid rotation matrix by checking that

$$\mathbf{R}^T\mathbf{R} = \mathbf{I}$$

and

$$\det(\mathbf{R}) = 1$$

Args
`matrix`	A tensor of shape `[A1, ..., An, K, K]`, where the last two dimensions represent a rotation matrix in K-dimensions.
`atol`	The absolute tolerance parameter.
`name`	A name for this op that defaults to "rotation_matrix_common_is_valid".

Returns
A tensor of type `bool` and shape `[A1, ..., An, 1]` where False indicates that the input is not a valid rotation matrix.

Args