I've stumbled on a typo in Unity Noesis plugin. Matrix struct has HasInverse property implemented like this:

public bool HasInverse => Math.Abs(Determinant) < 0.0001f;

On the other hand, Invert method looks like this:

public void Invert()
{
float determinant = Determinant;
if (Math.Abs(determinant) < 0.0001f)
throw new InvalidOperationException("Matrix is not Invertible");
...
}

I believe, the check in HasInverse implementation has to be inverted:

public bool HasInverse => Math.Abs(Determinant) >= 0.0001f;