What is the Determinant Calculator?
Calculate the determinant of a square matrix up to 6×6 with step-by-step work. Enter values in an n×n grid and get det(A), singularity status, and cofactor expansion steps for 2×2 and 3×3 matrices. A zero determinant means the matrix is singular and not invertible. Free, private, and instant in your browser.
How to use the Determinant Calculator
- Choose the matrix size n (n×n).
- Enter values in the grid.
- Read det(A) and whether the matrix is singular.
- Review cofactor or formula steps for 2×2 and 3×3 matrices.
- Copy the full result.
Common use cases
- Checking if a 3×3 system matrix is invertible
- Computing 2×2 determinants for homework
- Verifying det(I) = 1 for identity matrices
Frequently asked questions
- What is a determinant?
- A scalar value computed from a square matrix. det(A) = 0 means the matrix is singular and has no inverse.
- How is the 2×2 determinant calculated?
- For [[a,b],[c,d]], det = ad − bc.
- What matrix sizes are supported?
- Any square size from 1×1 up to 6×6.
- How is this different from the Matrix Calculator?
- This tool focuses only on determinants with more detailed steps for 2×2 and 3×3. Use Matrix Calculator for multiply, inverse, and other operations.
