🔢Matrix Determinant Calculator
The inverse A⁻¹ satisfies AA⁻¹ = I (identity matrix). Exists only when det(A) ≠ 0. Used to solve systems of equations: Ax=b → x = A⁻¹b.
- 1For 2×2: A⁻¹ = (1/det) × [[d,−b],[−c,a]]
- 2For larger: row reduction (Gauss-Jordan elimination)
A = [[3,1],[5,2]] · det=1=A⁻¹ = [[2,-1],[-5,3]]Verify: AA⁻¹ = [[1,0],[0,1]] ✓
⭐
Fun Fact
Inverting a 10,000×10,000 matrix requires ~10¹² floating-point operations — one of the most computationally intensive tasks in numerical computing.
References
🔒
100% Gratis
Ingen registrering
✓
Nøyaktig
Verifiserte formler
⚡
Øyeblikkelig
Resultater med én gang
📱
Mobilevennlig
Alle enheter