# Determinant of a 3 by 3 Matrix

This online calculator may be used to calculate the determinant of a 3 by 3 matrix.

Let A be a 3 by 3 matrix given by

A = [[a , b , c] , [d , e , f] , [g , h , i]]

where [a , b , c] is the first row, [d , e , f] is the second row and [g , h , i] is the third row of the given matrix.

The determinant of matrix A is given by

det(A) = a (e i - h f) - d (b i - h c) + g (b f - e c)

## Determinant calculator

1 - Enter coefficients a, b, c, d, e, e, f, g, h and i and press "enter".

### More References and links

Calculate Determinant of a Matrix

Determinant of a 2 by 2 Matrix - Calculator

Math Calculators and Solvers.