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you're given \[\large AB^{-1} = B^{-1}A\]

next, right multiply both sides by \(\color{red}{B}\)

Then BAB^-1B = AB which would be the same as BAI = AB and thus BA = AB

i dont know haha, i think it is true only if one of \(y\) or \(z\) is the inverse of \(x\)

I have to prove this or find a specific counter example now haha. Hmmmm

given :
```
xy = yx
xz = zx
```
prove/disprove :
```
yz = zy
```

nice one ! xD

Lol what, the earth is flat

yeah the world is rotating in the plane tho