Let
 |
(1)
|
where 
is the Brahmagupta matrix, then
![det[B(x_1,y_1) B(x_2,y_2)]](/images/equations/BrahmaguptaIdentity/Inline2.svg) |  | ![det[B(x_1,y_1)]det[B(x_2,y_2)]](/images/equations/BrahmaguptaIdentity/Inline4.svg) |
(2)
|
 |  | ![beta_1beta_2].](/images/equations/BrahmaguptaIdentity/Inline7.svg) |
(3)
|
Brahmagupta Identity
See also
Brahmagupta MatrixExplore with Wolfram|Alpha
References
Suryanarayan, E. R. "The Brahmagupta Polynomials." Fib. Quart. 34, 30-39, 1996.Referenced on Wolfram|Alpha
Brahmagupta IdentityCite this as:
Weisstein, Eric W. "Brahmagupta Identity." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/BrahmaguptaIdentity.html