Brahmagupta Identity
Let
| beta=detB=x^2-ty^2, |
(1)
|
where B is the Brahmagupta matrix, then
det[B(x_1,y_1) B(x_2,y_2)] = det[B(x_1,y_1)]det[B(x_2,y_2)]
(2)
= beta_1beta_2].
(3)
See also
Brahmagupta MatrixExplore with Wolfram|Alpha
WolframAlpha
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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 Resource. https://mathworld.wolfram.com/BrahmaguptaIdentity.html