TaskEaser
Back to home

Math

3×3 Determinant

Expansion along the first row

Runs locally in your browser

Parameters

Results

det(A)
1

How it works

Calculate the determinant of a 3×3 matrix by expansion along the first row.

Who it's for: Linear algebra students and anyone checking whether a matrix is invertible.

Uses cofactor expansion along row 1.

A determinant of zero means the matrix is singular (non-invertible).

Enter all nine elements a₁₁ through a₃₃.

How to use

  1. Fill in matrix elements row by row: a₁₁, a₁₂, a₁₃, then row 2, then row 3.
  2. Read det(A) as the determinant value.

Good to know

  • det = 0 indicates linear dependence among rows or columns.