FREE · EDUCATION & SCIENCE
Matrix Calculator.
Multiply, add and subtract matrices, and find the determinant, inverse, transpose, rank, row echelon form and powers with exact fractions.
Loading the calculator…
How to use Matrix Calculator
Type each matrix with one row per line and spaces or commas between values. Fractions such as 1/3 are accepted. Pick an operation; switch on decimals if you prefer them to fractions.
How it works
All operations use exact fractions on big integers, so inverses and determinants have no rounding error. RREF uses Gauss–Jordan elimination and reports the rank and pivot columns.
Example
The determinant of [[2, 1, 0], [1, 3, 1], [0, 1, 4]] is 18 and its inverse starts with 11/18, −2/9, 1/18.
Questions about Matrix Calculator
Is Matrix Calculator free, and do I need an account?
Yes. This tool is free to use in your browser without an account. Processing takes place on your device.
What are the limits and what should I check?
Up to 10 × 10. Exact rational arithmetic; very large fractions switch to decimals. No eigenvalues. Everything is calculated in your browser; nothing you type is uploaded. Review the result before using it in your work.
Is my input sent to a server?
Your input is processed in your browser and is not uploaded by this tool. Files and pasted text are cleared when the page is refreshed. Normal website requests are still required to load the page and its libraries. Read the privacy explanation.