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2x2 Matrix Calculator — result sheet
Calculate the determinant or inverse of a two-by-two matrix with the defining formula shown.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: det([[a,b],[c,d]]) = ad - bc; inverse = 1/(ad-bc) [[d,-b],[-c,a]].
The scope is deliberately limited to 2x2 matrices so the displayed operation is complete and auditable.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Matrix a
- Matrix b
- Matrix c
- Matrix d
- Operation — 2 choices
Worked example
| Input | Value |
|---|---|
| Matrix a | 4 |
| Matrix b | 7 |
| Matrix c | 2 |
| Matrix d | 6 |
| Operation | determinant |
Determinant = 10.
Assumptions and limits
- The inverse exists only when the determinant is nonzero.
- Entries are real numbers.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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