Hey, I noticed a mistake in the lecture. The lecturer mentions that the system is contradictory, but in reality, it has many solutions.

When you break it down, you’ll see that the equations are consistent with each other. Specifically, you get ( c = 0 ) and ( b = -a ). Since ( a ) can be any value, the system isn’t contradictory at all it actually has infinitely many solutions. So, while it might seem like there’s a contradiction, the system is just more flexible than it appears.