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Matrix Determinant Calculator

Compute the determinant of a square matrix of any size using LU decomposition with partial pivoting.

Enter values

Results update as you type.

Result

det(A)

1

Invertible?
Yes

About the Matrix Determinant Calculator

Compute the determinant of a square matrix of any size using LU decomposition with partial pivoting.

Also known as: determinant calculator, det of matrix, 3x3 determinant, 2x2 determinant.

How to use this calculator

  1. Enter matrix a (rows on new lines).
  2. The result updates instantly as you type — press Calculate (or Enter) at any time.
  3. Review the breakdown shown under the main result.
  4. Use Copy result or Share to save the answer or send a link with your inputs.

Formula

det(A) = product of pivots × (−1)^swaps

Worked example

Using the values pre-filled in the calculator above:

  • Matrix A (rows on new lines): 1 2 3 0 1 4 5 6 0

the calculator returns:

  • det(A): 1
  • Invertible?: Yes

Frequently asked questions

How do I enter a matrix?

Type one row per line, separating values with spaces or commas. You can also separate rows with semicolons: 1 2; 3 4.