I found a numerical quirk where the output of a computation is changed by using the transpose operation. The difference is small, but I’m curious if anyone knows the underlying reason for this.

Start with:

```
x = torch.tensor([0.0014, -0.0306, 0.0005, 0.0011, 0.0012, 0.0022, 0.0017, 0.0011,
0.0017, 0.0011, 0.0012, 0.0017, 0.0014, 0.0015, 0.0010, 0.0006,
0.0006, 0.0004, 0.0009, 0.0007, 0.0008, 0.0007, 0.0013, 0.0013,
0.0015, 0.0023, 0.0007], dtype=torch.float64)
```

Now compute:

```
y1 = (x.unsqueeze(0) @ torch.ones(x.shape[0], 1, dtype=torch.float64)).item()
> 3.2526065174565133e-19
y2 = (x.unsqueeze(0) @ (torch.ones(1, x.shape[0], dtype=torch.float64).T)).item()
> 2.4936649967166602e-18
```

I would not expect the transpose operation to have this effect. Does anyone know the underlying reason?