| Display title | Lagrange's identity |
| Default sort key | Lagrange's identity |
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| Page ID | 183617 |
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| Page creator | imported>MedAI |
| Date of page creation | 09:07, 27 June 2023 |
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Article description: (description)
This attribute controls the content of the description and og:description elements. | In algebra, Lagrange's identity, named after Joseph Louis Lagrange, is:
$ {\displaystyle {\begin{aligned}\left(\sum _{k=1}^{n}a_{k}^{2}\right)\left(\sum _{k=1}^{n}b_{k}^{2}\right)-\left(\sum _{k=1}^{n}a_{k}b_{k}\right)^{2}&=\sum _{i=1}^{n-1}\sum _{j=i+1}^{n}\left(a_{i}b_{j}-a_{j}b_{i}\right)^{2} |
