Unit Converters · Free tool
Matrix Determinant Calculator
Calculate determinants for square matrices 2×2 to 6×6 instantly. Direct formulas, Laplace expansion, singular detection. Free, no sign-up, browser-only.
Determinant
1
Matrix is invertible (det ≠ 0).
2×2 and 3×3 use direct formulas; 4×4–6×6 use Laplace cofactor expansion. For matrices > 6×6 or for inverse / rank / eigenvalues, use a CAS like NumPy or Mathematica.
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What it does
Determinant of a square matrix, sizes 2×2 through 6×6. 2×2 and 3×3 use direct formulas; larger sizes use Laplace cofactor expansion along the first row.
A determinant of zero means the matrix is singular — no inverse exists, and the system Ax = b either has no solution or infinitely many.
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Paste this snippet into any page. Loads on-demand (lazy), no tracking scripts, and sized to most dashboards. Replace the height to fit your layout.
<iframe src="https://freetoolarena.com/embed/matrix-determinant" width="100%" height="720" frameborder="0" loading="lazy" title="Matrix Determinant Calculator" style="border:1px solid #e2e8f0;border-radius:12px;max-width:720px;"></iframe>How to use it
- Pick the matrix size.
- Fill in the cells.
- Read det(A) and whether the matrix is invertible.
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