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Determined but cross like pasta

The Levi-Cevita notation for a determinant is quite nice:

A=[a11a12a11a12a22a32a13a32a33]A = \begin{bmatrix} a_{11} & a_{12} & a_{11} \\ a_{12} & a_{22} & a_{32} \\ a_{13} & a_{32} & a_{33} \end{bmatrix}

Then:

det(A)=i,j,kεijka1ia2ja3k\det(A) = \sum_{i,j,k} \varepsilon_{ijk} a_{1i} a_{2j} a_{3k}

Apparently, Einstein's favourite things about Italy were its pasta and Levi Cevita.

2025 Stefano De Vuono