Matrix Calculator
Do matrix arithmetic up to 10 × 10: determinant, inverse, transpose, A × B, A ± B, powers and scalar multiplication.
Result
Enter a matrix and choose an operation.
How to use this calculator
- Type each row on its own line, with values separated by spaces or commas.
- Choose an operation; matrix B appears when needed.
Formula
Determinants use Gaussian elimination with partial pivoting; inverses use Gauss–Jordan elimination. A × B requires A’s columns to equal B’s rows.
Worked example
A 2 × 2 matrix
For [[1, 2], [3, 4]], the determinant is −2 and the inverse is [[−2, 1], [1.5, −0.5]].
Assumptions and limitations
- Everything runs in your browser; nothing you enter is uploaded or stored.
- Calculations use floating-point numbers; values are rounded to 6 decimals for display.
Frequently asked questions
Why has my matrix no inverse?
Its determinant is 0 (it is singular): its rows are not independent, so no matrix can undo it.
Is A × B the same as B × A?
Usually not — matrix multiplication is not commutative.