2 × 2 matrix inverse
2 × 2 matrix inverse: calculate a transparent estimate from the values and assumptions you provide.
Your inputs stay in your browser. Displayed results are rounded to a maximum of 12 significant digits.
Method and assumptions
Method version 1.0.0 · Updated
Calculate
Formula: A⁻¹ = 1/(ad−bc) × [[d,−b],[−c,a]]
2 × 2 matrix inverse: calculate a transparent estimate from the values and assumptions you provide.
- a
- Entry a₁₁
- b
- Entry a₁₂
- c
- Entry a₂₁
- d
- Entry a₂₂
Deterministic floating-point calculation. The displayed result is rounded to a maximum of 12 significant digits.
Calculate with code
These short examples use the same inputs and core calculation as this tool. Adapt validation and formatting to your application.
JavaScript
const det = 4 * 6 - 7 * 2; const inverse = [[6 / det, -7 / det], [-2 / det, 4 / det]];