- #1

Calu

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## Homework Statement

Let the commutator [A,B] = cI, I the identity matrix and c some arbitrary constant.

Show [A,B

^{n}] = cnB

^{n-1}

## Homework Equations

[A,B] = AB - BA

## The Attempt at a Solution

So I have started off like this:

[A,B

^{n}] = AB

^{n}- B

^{n}A = cI

I'm not sure where to go from here.