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2×2 Matrix Determinant Calculate the determinant of a 2×2 matrix.

row 1, col 1
row 1, col 2
row 2, col 1
row 2, col 2

Result

Determinant-14.0000
Invertible?Yes (det ≠ 0)
↗ Math

2×2 Matrix Determinant Calculate the determinant of a 2×2 matrix. — free online calculator.

Formula

det = ad − bc
  • 2×2 Matrix Determinant Calculate the determinant of a 2×2 matrix. calculates its result from Ad, Bc. It uses the formula det = ad − bc. Change any input to recalculate the result instantly.
  • The main inputs are a, b, c, d. 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: 2×2 Matrix Determinant Calculate the determinant of a 2×2 matrix.

Inputs
  • a: 3 row 1, col 1
  • b: 8 row 1, col 2
  • c: 4 row 2, col 1
  • d: 6 row 2, col 2

Using Ad = 2, Bc = 3, the calculated result is -1.

Sample result: Calculating…

Frequently asked questions

What does the 2×2 Matrix Determinant Calculate the determinant of a 2×2 matrix. calculate?

2×2 Matrix Determinant Calculate the determinant of a 2×2 matrix. — free online calculator.

Which values should I enter?

Enter a, b, c, d using the units and format shown beside each field.

What formula does this calculator use?

The calculator uses the following relationship: det = ad − bc.

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.

Page information

Updated: October 10, 2026