Determinant of a 2×2 (geometry)

Compute the determinant of (3124)\begin{pmatrix} 3 & 1 \\ 2 & 4 \end{pmatrix}. (Recall it is the signed area-scaling factor of the map.)

Show hints (2)+
  1. Use $ad - bc$.
  2. It is the area-scaling factor of the linear map.

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Asked at: Citadel, Two Sigma

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