Math & Scientific
Determinant Calculator
Determinant: it computes the determinant by cofactor expansion (ad − bc for a 2×2 matrix). Worked through below with real figures, and the calculator repeats the working on your own inputs — free, on-device, instant.
Determinant Calculator turns your square matrix into the result using the standard method. The maths runs locally, so nothing you enter leaves the page.
About this calculator
It computes the determinant by cofactor expansion (ad − bc for a 2×2 matrix). It matters when you need the exact relationship checked quickly rather than worked through by hand. Worked below as For [[4,7],[2,6]] the determinant is 4×6 − 7×2 = 24 − 14 = 10 . — and the calculator on this page repeats exactly that working for your inputs, instantly, and offline after load.
How to use
- Type a square matrix, with rows separated by semicolons or new lines and values by commas.
- For example, enter 1, 2; 3, 4 for a 2 by 2 matrix.
- Press Calculate to compute the determinant.
- Read the determinant value and the detected matrix size.
Why use Determinant Calculator
Fast
Calculations run in your browser. No round trip to a server.
Private
Your inputs never leave your device. Nothing is uploaded.
Free
No signup, no paywall, no ads-in-results, no watermarks.
Accurate
Based on standard, well-established formulas.
Mobile-ready
Optimised for phones, tablets, and desktops alike.
Transparent
Honest disclaimers wherever browser limits or regional rules apply.
Common uses
Use it when preparing worksheets
Use it for understanding a formula's behaviour
Use it for homework and assignment checks
Determinant in tutoring and teaching sessions
Determinant in statistics and data coursework
Use it when comparing two different methods
Technical notes
Determinant Calculator computes the determinant by cofactor expansion (ad − bc for a 2×2 matrix).
Inputs are taken exactly as entered, so check for typos before trusting an answer.
Results are rounded for display; the underlying calculation keeps full precision.
FAQ
How do I separate rows and values?
Separate the numbers in a row with commas or spaces, and separate rows with a semicolon or a new line, for example 1, 2; 3, 4.
Why must the matrix be square?
The determinant is only defined for square matrices, where the number of rows equals the number of columns, so non-square input is rejected.
What does a determinant of zero mean?
A determinant of zero means the matrix is singular: its rows or columns are linearly dependent and it has no inverse.
Does the Determinant Calculator send my data to a server?
No. The Determinant Calculator runs entirely in your browser, so nothing you enter is uploaded, stored, or shared.
Worked example
For [[4,7],[2,6]] the determinant is 4×6 − 7×2 = 24 − 14 = 10.