Question

Assume that AB = BC If A^-1AB=A^-1BC is B=A^-1BC, then then is

this allowed: ABB^-1=BCB^-1 or A=BCB^-1?

Answer 1

No, it is not allowed to conclude that A=BCB^-1 based on the given information.

Step-by-step explanation:

No, it is not allowed to conclude that A=BCB^-1 based on the given information.

Starting with the given equation A^-1AB=A^-1BC, we can multiply both sides by B^-1 on the left to get A^-1ABB^-1 = A^-1BCB^-1. This simplifies to A=BCB^-1.

Therefore, the correct conclusion is B=A^-1BC and not A=BCB^-1.