00:01
For this problem, we are asked to show that if l is a lorentz transformation, then l transpose is, or then so is the transpose matrix l transpose.
00:12
So one thing that i'll note is off the bat, if l is a lorentz transformation, then l transform, or l transpose aeta, l must be equal to aeta.
00:24
So if we plug in l transpose into that equation, then we'd have l transpose transpose transpose is equal to, let's see here, one moment here, what we can do actually.
00:48
So i'll change up my approach here because i just realized that that wouldn't actually lead anywhere too productive.
00:56
But what we can do is multiply in both sides by l -a -a.
01:02
So we have l -a -tta times l -transpose a -da -l, which then is equal to l -a -a -multplifying, or left -multiplifying ata.
01:17
Now on the left -hand side, we have l -a -transpo.
01:22
Or l -a -t transpose -a -a -l...