Business I / Determinants
Practice question · Estimate

A transformation matrix has detA=3\det A = 3. A region of area 8 goes in. Set the slider to the area that comes out.

Estimate on a scale from 0 to 50.

Hints
  1. The determinant is the universal area multiplier.
  2. 838 \cdot 3.
Show the answer

24 (answers within ±1 count)

Why

Every region — squares, blobs, portfolios drawn in risk-return space — has its area multiplied by det=3|\det| = 3: output area 24. One number governs all shapes equally.

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