Research Workbench

Two-variable determinant audit

Interpret determinant magnitude and orientation for a two-variable transformation.

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Use comma-separated finite numbers on two lines. Magnitudes must be at most 1e9 and at least 1e-12, or zero.

The starting values are hypothetical. Results update as you edit. Use aggregate or synthetic inputs only.

Calculation results

Determinant
6
Area factor
6
Orientation
Preserved

How to interpret the output

Computes ad−bc for a 2×2 linear transformation. Magnitude is area scaling in consistent coordinate units. Near cancellation limits numeric accuracy, and magnitude alone does not establish conditioning. Source checked 12 November 2026.

Method reference

Read the worked guide and interpretation examples →