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Mathematics · Glossary

What is Determinant?

Definition 15.4 High School Mathematics · Chapter 15 — Vectors and Lines in the Plane

The determinant of u⃗ (x,y)\vec u\,(x, y) and v⃗ (x′,y′)\vec v\,(x', y') is

det⁡(u⃗,v⃗)=∣xx′yy′∣=xy′−x′y.\det(\vec u, \vec v) = \begin{vmatrix} x & x' \\ y & y' \end{vmatrix} = x y' - x' y .
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