Re: An interesting problem of algebra

TLOlczyk wrote:

> On Thu, 05 May 2005 06:10:41 EDT, tunnel <tunnel2001@xxxxxxx> wrote:
>
>>For A ,B is matrix.(AB)^3=BA . proof that AB=BA
> Huh.Isn't this obvious?

No.

> (AB)^3=(A^3)(B^3)

You might like to calculate both sides for
A = (1 1)
(0 1)
and
B = (1 0)
(1 1).

> Thaddeus L. Olczyk, PhD

Robin J. Chapman, MA PhD NBG ASBO

--
Robin Chapman, www.maths.ex.ac.uk/~rjc/rjc.html
"Elegance is an algorithm"
Iain M. Banks, _The Algebraist_
.

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