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Matrix Determinant Calculator
Determinant of any square matrix via Gaussian elimination.
Best for: Use it to test invertibility, solve systems (Cramer's rule), or find areas/volumes.
Input
How it's calculated & sources
The Matrix Determinant Calculator uses the standard, deterministic formula, so the same inputs always produce the same result. It runs entirely in your browser, so your inputs are never uploaded. Last reviewed June 2026.
Free & no sign-up · runs entirely in your browser. Results are estimates for general information, not professional advice — verify important decisions with a qualified expert. Last reviewed June 2026.
How it works
For 2×2: ad − bc. For larger: Laplace expansion or Gaussian elimination on a square matrix.
Example
det([[1,2],[3,4]]) = (1·4) − (2·3) = −2
Frequently asked questions
When is determinant 0?+
When rows (or columns) are linearly dependent — the matrix is singular and not invertible.
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