Determinant Calculator
Determinant of a 2×2 matrix [[a, b], [c, d]].
Formula: det = ad − bc
Worth Knowing
The determinant of a 2×2 matrix, ad − bc, has a clean geometric meaning: it's the signed area of the parallelogram formed by the matrix's rows. When it equals zero, the rows are parallel and the matrix is singular — it has no inverse and collapses space onto a line. That single number tells you whether a system of two linear equations has a unique solution, making the determinant a quick invertibility test.
How to Use
- Enter a into the first field of the Determinant Calculator.
- Fill in the rest: b, c, d.
- Your result appears instantly as you type — there's no submit button or page reload.
Formula
det = ad − bc