What is the Matrix Determinant Calculator?
Calculate the determinant and trace of a 3 × 3 matrix.
Enter row 1, column 1, row 1, column 2, row 1, column 3, row 2, column 1, row 2, column 2, row 2, column 3, row 3, column 1, row 3, column 2 and row 3, column 3 and the Matrix Determinant Calculator returns determinant, trace and invertible. Results update as you type, and nothing you enter leaves your device.
How it is calculated
How to use it
- Enter row 1, column 1.
- Enter row 1, column 2.
- Enter row 1, column 3.
- Enter row 2, column 1.
- Enter row 2, column 2.
- Enter row 2, column 3.
- Enter row 3, column 1.
- Enter row 3, column 2.
- Enter row 3, column 3.
- Read determinant in the results panel. It updates as you type.
- Change any value to compare scenarios, or use Share to send the result as a link.
Worked example
Common questions
What formula does the Matrix Determinant Calculator use?
It uses: det = a(ei − fh) − b(di − fg) + c(dh − eg).
What do I need to use the Matrix Determinant Calculator?
You need row 1, column 1, row 1, column 2, row 1, column 3, row 2, column 1, row 2, column 2, row 2, column 3, row 3, column 1, row 3, column 2 and row 3, column 3. Sensible starting values are filled in so you can see how it works straight away.
Is the Matrix Determinant Calculator free, and is my data stored?
It is free with no sign-up. The calculation runs in your browser, so the values you enter are not sent to or stored on our server.