2 × 2 Matrix Determinant
Calculate determinant and identify singular two-by-two matrices.
Your numbers
Determinant
Use consistent units. The result follows the assumptions you enter.
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Formula
For matrix [[a,b],[c,d]], use det = ad−bc. The letters give entries in row order. A zero determinant identifies a singular matrix.
Calculate determinant and identify singular two-by-two matrices.
Worked example
- Row 1, column 1
- 1
- Row 1, column 2
- 2
- Row 2, column 1
- 3
- Row 2, column 2
- 4
- Determinant
- -2
Scope and limitations
Use consistent units. The result follows the assumptions you enter.
Inputs are checked for missing values and allowed ranges. A result outside the finite numeric range is not displayed. Rounding affects display, while the calculation uses the model’s numeric precision.
Check your units and assumptions before relying on a result. Changing a label does not convert a currency or physical unit.
Formula version: 8b22d1101f97 · Example checked: