2 × 2 Matrix Inverse
Find the four entries of a nonsingular matrix inverse.
Your numbers
Inverse row 1, column 1
Use consistent units. The result follows the assumptions you enter.
Scenario comparison
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Formula
A⁻¹ = [[d,−b],[−c,a]] ÷ (ad−bc)
Find the four entries of a nonsingular matrix inverse.
Worked example
- Row 1, column 1
- 1
- Row 1, column 2
- 2
- Row 2, column 1
- 3
- Row 2, column 2
- 4
- Inverse row 1, column 1
- -2
- Inverse row 1, column 2
- 1
- Inverse row 2, column 1
- 1.5
- Inverse row 2, column 2
- -0.5
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: dd522b29d76c · Example checked: