2x2 Matrix Calculator
Add, subtract, multiply two 2x2 matrices, and find the determinant and inverse of matrix A.
Matrix A
Matrix B
Determinant of A
-2
A + B
6
8
10
12
A - B
-4
-4
-4
-4
A × B
19
22
43
50
Inverse of A
-2
1
1.5
-0.5
Enter values for two 2x2 matrices A and B and get their sum, difference, and product, plus the determinant and inverse of matrix A. All calculations run instantly in your browser.
How to use
- Fill in the four cells of matrix A and matrix B.
- View the determinant of A and its inverse (if it exists).
- Check the sum, difference, and product grids below.
Frequently asked questions
- When does a matrix have no inverse?
- A 2x2 matrix has no inverse when its determinant equals zero — it's called a singular matrix.
- How is matrix multiplication order handled?
- The tool computes A × B, where A is multiplied on the left and B on the right, which matches standard matrix multiplication order.
- Can I use negative or decimal values?
- Yes, every cell accepts negative numbers and decimals.