2×2 Matrix Inverse Calculator
Find a two-by-two determinant and its inverse when nonsingular.
Your result
MATHEnter your values and select calculate.
On this page How it works & practical examples
How to use the 2×2 Matrix Inverse Calculator
Enter elements in row order. The determinant remains a useful result for a singular matrix; an inverse is displayed only when the determinant is nonzero.
The calculation
Worked example
The matrix [[4,7],[2,6]] has determinant 10 and inverse [[0.6,−0.7],[−0.2,0.4]].
Assumptions and limits
Floating-point arithmetic can be sensitive for nearly singular matrices. This is a fixed 2×2 tool, not a general symbolic matrix solver.
Common questions
Which inputs should I use?
Enter elements in row order. The determinant remains a useful result for a singular matrix; an inverse is displayed only when the determinant is nonzero.
What does the result exclude?
Floating-point arithmetic can be sensitive for nearly singular matrices. This is a fixed 2×2 tool, not a general symbolic matrix solver.