Cofactor Expansion Calculator
Result
Cofactor Expansion Calculator (2×2) The Cofactor Expansion Calculator finds the determinant of a 2×2 matrix by expanding along the first row, showing the signed products. Enter the four matrix entries. — free online calculator.
Formula
- Cofactor Expansion Calculator calculates its result from A11, A22, A12, A21. It uses the formula det = a₁₁·a₂₂ − a₁₂·a₂₁ (cofactor expansion along row 1). Change any input to recalculate the result instantly.
- The main inputs are A11, A22, A12, A21. Enter them in the units and format shown in the calculator.
- Keep comparable quantities in compatible units whenever the formula combines or compares them.
- Changing any input above recalculates the result with the same calculation engine used by this page.
Example: Cofactor Expansion
- A11: 2
- A22: 3
- A12: 4
- A21: 5
Using A11 = 2, A22 = 3, A12 = 4, A21 = 5, the calculated result is -14.
Sample result: Calculating…
Frequently asked questions
What does the Cofactor Expansion calculate?
Cofactor Expansion Calculator (2×2) The Cofactor Expansion Calculator finds the determinant of a 2×2 matrix by expanding along the first row, showing the signed products. Enter the four matrix entries. — free online calculator.
Which values should I enter?
Enter A11, A22, A12, A21 using the units and format shown beside each field.
What formula does this calculator use?
The calculator uses the following relationship: det = a₁₁·a₂₂ − a₁₂·a₂₁ (cofactor expansion along row 1).
Why might my result differ from another source?
Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.
Does the result update automatically?
Yes. Changing an input updates the result using the same calculation engine shown on this page.