Lagrange恒等式[Lagrange's Identity] - 达人(其实～我是卧底，来自外星)

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2005/06/18 | Lagrange恒等式[Lagrange's Identity]
类别(∑〖数学〗) | 评论(0) | 阅读(112) | 发表于 12:45: Lagrange's identity is the algebraic identity
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(Mitrinovic 1970, p. 41). In determinant form,
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where is the determinant of . Lagrange's identity is a special case of the Binet-Cauchy identity, and Cauchy's inequality in n dimensions follows from it. It can be coded in Mathematica as follow.
Plugging in gives the n = 2 and n = 3 identities
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