It satisfies

Powers of the matrix are defined by

The and are called Brahmagupta Polynomials. The Brahmagupta matrices can be extended to Negative Integers

**References**

Suryanarayan, E. R. ``The Brahmagupta Polynomials.'' *Fib. Quart.* **34**, 30-39, 1996.

© 1996-9

1999-05-26