Math & science
Matrix Calculator
Work with 2x2 matrices using addition, subtraction, multiplication, determinant, and inverse operations.
Interactive calculator
Work with 2×2 matrices
Add, subtract, multiply, invert, or take the determinant of 2×2 matrices for algebra, engineering, and classroom problem-solving.
Matrix A
Matrix B
Results
det(A)
-2
det(B)
-2
Result matrix
How to use it
- 01Enter the values for Matrix A and Matrix B.
- 02Choose whether you want to add, subtract, multiply, take the determinant of A, or invert A.
- 03Review the resulting matrix or scalar value along with the determinants for both matrices.
Result guide
- The determinant of A helps show whether Matrix A can be inverted.
- A matrix with determinant 0 is singular and cannot be inverted.
- Matrix multiplication follows row-by-column multiplication rather than cell-by-cell multiplication.
About this calculator
Matrix pages are useful in algebra, engineering, graphics, and data problems because they bring several core operations together in one place instead of forcing users to solve each step manually.
A focused 2x2 matrix calculator is especially practical because it covers the most common classroom and quick-reference cases while keeping the interface understandable.
Frequently asked questions
Why only 2x2 matrices on this page?
Because 2x2 matrices cover many common educational and quick-reference use cases while keeping the page fast and easy to use.
Why can some matrices not be inverted?
Because a matrix with determinant 0 is singular, which means the inverse does not exist.
Do matrix addition and multiplication work the same way?
No. Addition combines matching cells, while multiplication uses row-by-column operations.
Method and limitations
This calculator uses the formula and assumptions described on this page. We do not claim independent professional review. Direct references will be listed here when they support a specific rule or data source used by this calculator.
Results are estimates for general information. Verify current rules and assumptions before making financial, tax, or health decisions.
Read our Editorial and Verification Policy →Related calculators
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