Linear Algebra

Matrix Determinant

The determinant is a single number that captures key properties of a square matrix, including whether it is invertible. Enter the matrix with rows separated by semicolons and entries by commas; the calculator returns the determinant.

Matrix Determinant

Determinant of a square matrix.

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Frequently asked questions

How do I enter a matrix?

Separate rows with a semicolon and entries with a comma, for example "1,2;3,4" for a 2×2 matrix.

What does a determinant of 0 mean?

A zero determinant means the matrix is singular: its rows are linearly dependent and it has no inverse.

Does this work for matrices larger than 3×3?

Yes. The calculator uses cofactor expansion, which works for any square matrix.