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Math & AlgebraGenerated accuracy model review: 2026-05-06
Matrix Calculator accuracy and testing
This page documents how Calwarden builds trust for this calculator: source notes, regression-style default tests, limitations, assumptions, unit handling, rounding, and visible change history.
Formula source
- 1. **Determinant (det):** A scalar value that describes the scaling factor of the matrix transformation. If det=0, the matrix has no inverse (singular). 2. **Inverse ($A^{-1}$):** A matrix that, when multiplied by the original matrix, results in the Identity Matrix. It is calculated using the adjugate matrix divided by the determinant.
Test cases
Default input regression check
Generated from the checked-in default inputs and calculate function.
Inputs
- Size: 2x2
- a11: 1
- a12: 2
- a13: 3
- a21: 4
- a22: 5
- a23: 6
- a31: 7
- a32: 8
- a33: 9
Expected outputs
- Determinant: -3
- Inverse Matrix: [-1.667, 0.667; 1.333, -0.333]
Known limitations
- This page documents the checked-in calculator logic and does not certify results for every real-world edge case.
- Use the result as a planning estimate unless the calculator page states a stricter purpose.
Assumptions
- This tool only supports square 2x2 and 3x3 matrices.
- All matrix entries should be finite numeric values.
- An inverse exists only when the determinant is non-zero.
Unit handling
- Size accepts one of the configured options.
- a11 accepts numeric values.
- a12 accepts numeric values.
- a13 accepts numeric values.
- a21 accepts numeric values.
- a22 accepts numeric values.
- a23 accepts numeric values.
- a31 accepts numeric values.
- a32 accepts numeric values.
- a33 accepts numeric values.
Rounding rules
- Number displays use up to 2 decimal places in the calculator UI.
Version history
1.0.0 - 2026-05-06
Generated accuracy and testing page from the current matrix-calculator calculator definition.
Change log
2026-05-06
Published default regression test documentation and metadata fallbacks for Matrix Calculator.
Calculator transparency
Accuracy pages are generated from checked-in calculator definitions and can be upgraded with curated review metadata over time.