2x2 Matrix Addition & Subtraction Calculator
Add or subtract two 2x2 matrices.
Enter your values
ⓘ Live results
Results
- A+B
- [[6, 8], [10, 12]]
- A-B
- [[-4, -4], [-4, -4]]
Quick answer
Matrices are added or subtracted entry by entry, so the result has the same shape as the inputs.
(A±B)[i][j] = A[i][j] ± B[i][j]
How to use the 2x2 Matrix Addition & Subtraction Calculator
- 1Enter all four entries for matrix A and matrix B.
- 2The calculator adds and subtracts entry by entry.
- 3Both results have the same 2x2 shape as the inputs.
Worked example
Using the values the calculator loads with:
Inputs
- A111
- A122
- A213
- A224
- B115
- B126
- B217
- B228
Results
- A+B[[6, 8], [10, 12]]
- A-B[[-4, -4], [-4, -4]]
Frequently asked questions
Can I add matrices of different sizes?
No — addition and subtraction require matrices of the exact same dimensions.
Does order matter for subtraction?
Yes, A-B is the negative of B-A.
About this calculator
- Built and reviewed by James Whitfield · How we build and test calculators
- Report an error
Results are estimates for general information. For medical, legal, structural or financial decisions, confirm with a qualified professional.