2×2 matrix determinant & inverse
Compute det(A) and A⁻¹ for a 2×2 matrix [[a,b],[c,d]].
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Tool guide
2×2 matrix determinant & inverse: how it works
Practical information to understand the result and use this tool correctly.
About 2×2 matrix determinant & inverse
The determinant of [[a,b],[c,d]] is ad−bc.
When det≠0 the inverse is (1/det)·[[d,−b],[−c,a]].
Singular matrices have no inverse.
How to use it
- 1Enter the four entries a,b,c,d.
- 2Read det(A).
- 3If invertible, read A⁻¹.
Frequently asked questions
- det = 0?
- The matrix is singular — no inverse.
- 3×3?
- Not in this tool; specialized for 2×2.