Maths & numbers
Small matrix calculator
Add, multiply, transpose, invert or find a determinant for matrices up to 6 × 6.
A clear answer. Here’s how.
Accepts rectangular matrices up to 6 × 6 with finite entries of magnitude at most 10¹², and non-zero entries of at least 10⁻¹². Addition/subtraction require matching shapes; multiplication requires A columns=B rows. Determinants use elimination with partial pivoting; inverses use pivoted Gauss–Jordan elimination. Exact zero pivots are singular in this numeric model. Inverse output includes an infinity-norm condition estimate and warns above 10¹²; arithmetic and displayed values are floating-point approximations.
See a worked example
Worked example
A fixed demonstration, separate from the values you enter above.
- Operation
- A × B
- Matrix A: rows on new lines, entries separated by spaces or commas
1, 2 3, 4
- Matrix B (needed for add, subtract and multiply)
5, 6 7, 8
Example result
| Row | Column 1 | Column 2 |
|---|---|---|
| 1 | 19 | 22 |
| 2 | 43 | 50 |
Floating-point matrix arithmetic; results are approximate.