Determinant and inverse of a 2×2 matrix. Free, private, and runs entirely in your browser.
The determinant is ad − bc. If it is non-zero, the inverse is 1 ÷ det times the matrix with a and d swapped and b and c negated.
When is a matrix singular? When its determinant is zero; it has no inverse.
Larger matrices? This tool covers 2×2 only.