Matrix Calculator
Compute the determinant and inverse of a 2×2 or 3×3 matrix.
Input Data
Results
10
[0.6, -0.7]
[-0.2, 0.4]
det = 10
At a glance:The determinant is a scalar telling whether a matrix is invertible; the inverse A⁻¹ satisfies A·A⁻¹ = I. 2×2 has a simple formula; 3×3 uses cofactors. det=0 means no inverse.
Formula
2×2: det = ad − bc; A⁻¹ = (1/det)·[[d,−b],[−c,a]].
det=0 ⇒ no inverse.
How to Use
- Pick a size.
- Fill the elements.
- Read determinant and inverse.
FAQ
Non-square matrices?
This tool handles only square 2×2 and 3×3 matrices.
Why no inverse sometimes?
A matrix with determinant 0 is singular and has no inverse.
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References
Content review: Calculatorism Science Team. Results are for reference only.