toqito.matrix_props.is_orthonormal¶

Checks if the set of vectors are orthonormal.

Module Contents¶

toqito.matrix_props.is_orthonormal.is_orthonormal(vectors)[source]¶

Check if the vectors are orthonormal.

Examples

The following vectors are an example of an orthonormal set of vectors in (mathbb{R}^3).

[

end{pmatrix}, quad begin{pmatrix}

1 \ 1 \ 0

end{pmatrix}, quad text{and} quad begin{pmatrix}

0 \ 0 \ 1

end{pmatrix}

]

To check these are a known set of orthonormal vectors:

```python exec=”1” source=”above” import numpy as np from toqito.matrix_props import is_orthonormal

v_1 = np.array([1, 0, 0]) v_2 = np.array([0, 1, 0]) v_3 = np.array([0, 0, 1])

v = np.array([v_1, v_2, v_3])

print(is_orthonormal(v)) ```

Parameters:: vectors (list[numpy.ndarray]) – A list of np.ndarray 1-by-n vectors.
Returns:: True if vectors are orthonormal; False otherwise.
Return type:: bool