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## Homework Statement

If A and B are observables, suppose that the simultaneous eigenkets of A and B, {|a',b'>} form a complete orthonormal set of base kets.

Can we always conclude that [A,B]=0

## Homework Equations

A|a'> = a' |a'>

B|b'> = b' |b'>

## The Attempt at a Solution

I Honestly don't know where to start.

What does it mean that the are "Simultaneous Eigenkets"?

I do know that it implies that you can take a measurement of both without having to destroy the previous measurement. Everywhere i look seems to start at the opposite end assuming that they commute.

So

**if someone can explain what "Simultaneous eigenkets" means, I can probably get a bunch further**..

I want to figure this out but i can't seem to really even get started.