➗ Two by Two Matrix Inverse Calculator
Find the inverse of a nonsingular 2×2 matrix.
Result
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How this calculator works
Find the inverse of a nonsingular 2×2 matrix.
Formula
A⁻¹=(1/det)[[d,-b],[-c,a]]
Example
[[3,4],[2,5]] has inverse (1/7)[[5,-4],[-2,3]].
Frequently asked questions
What does the Two by Two Matrix Inverse Calculator do?
Find the inverse of a nonsingular 2×2 matrix.
Are the results exact?
The calculator follows the displayed formula. Rounded display values may differ slightly from full-precision results.
Can I use negative or decimal values?
Most fields accept decimals and negative values when they make sense for the formula.
How should I check an important result?
Review the formula, verify your entries, and confirm high-stakes work with a qualified teacher or professional.