# Brahmagupta matrix

Brahmagupta matrix

The following matrix was given by Indian mathematician Brahmagupta in 628:Fact|date=October 2008

:

It satisfies

:$B\left(x_1,y_1\right) B\left(x_2,y_2\right) = B\left(x_1 x_2 pm ty_1 y_2,x_1 y_2 pm y_1,x_2\right).,$

Powers of the matrix are defined by

:

The $x_n$ and $y_n$ are called Brahmagupta polynomials. The Brahmagupta matrices can be extended to negative integers:

:

ee also

*Brahmagupta's identity

* Eric Weisstein. " [http://mathworld.wolfram.com/BrahmaguptaMatrix.html Brahmagupta Matrix] ", MathWorld, 1999.

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