Math
Linear equation
Solve a one-variable linear equation in the form ax + b = c.
Calculators / Math / 2×2 matrix determinant
2×2 matrix determinant calculator
Calculate the determinant of a two-by-two matrix.
On this page
Determinant-2
Calculator controls
How to calculate
Calculate the determinant of a two-by-two matrix.
Determinant = a*d-b*c
Worked example
Top left: 1; Top right: 2; Bottom left: 3; Bottom right: 4.
Determinant: -2 .
Assumptions and limits
A zero determinant means the matrix is singular and has no ordinary inverse.
Results are rounded for display; calculations use unrounded values. Read our calculation methodology.
Understanding the result
Calculate the determinant of a two-by-two matrix. The displayed figures use the inputs and formula shown on this page.
When this tool is useful
Use the 2×2 matrix determinant to compare a scenario, check an estimate, or verify a manual calculation.
Understanding your inputs
| Input | What to enter |
|---|---|
| Top left | Enter a number of at least -1000000000000 and no more than 1000000000000. |
| Top right | Enter a number of at least -1000000000000 and no more than 1000000000000. |
| Bottom left | Enter a number of at least -1000000000000 and no more than 1000000000000. |
| Bottom right | Enter a number of at least -1000000000000 and no more than 1000000000000. |
Frequently asked questions
What should I check before using the 2×2 matrix determinant result?
A zero determinant means the matrix is singular and has no ordinary inverse.
Is this 2×2 matrix determinant result exact?
It is exact for the stated mathematical model and entered values. Real-world results can differ when rates, timing, fees, definitions or measurement conditions differ.