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Math — Matrices & Determinants

2×2 determinant, transpose of a product, inverse and identity.

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\det\begin{pmatrix} a & b \\ c & d \end{pmatrix} = ad - bc

(AB)^\top = B^\top A^\top

A^{-1} = \frac{1}{\det A}\,\text{adj}(A)

AA^{-1} = A^{-1}A = I