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Leibniz formula for determinants
Definition
| $n\in \mathbb N$ |
| $R$ … abelian ring |
| $ \mathrm{det}_n:\mathrm{SquareMatrix}(n,R)\to R$ |
| $ \mathrm{det}_n(A):=\sum_{j_1,\dots,j_n}^n\varepsilon_{j_1,\dots,j_n}\cdot \prod_{k=1}^n A_{k,j_k}$ |
Discussion
This function concides with the implicitly defined determinant of Determinant, if the matrices are taken to be linear operators in the usual way.
Reference
Wikipedia: Leibniz formula for determinants
Parents
Requirements
Requirements
