Matrix determinant calculator

Entering data into the matrix determinant calculator

You can input only integer numbers or fractions in this online calculator. More in-depth information read at these rules.

Additional features of the matrix determinant calculator

• Use , , and keys on keyboard to move between field in calculator.

Determinant of 2×2 matrix

For a matrix of 2×2 the determinant is equal to the difference between the value of products of elements of the main diagonal and antidiagonal:

∆ =

a11 a12 a21 a22

= a11·a22 - a12·a21

Triangle's rule for determinant of 3×3 matrix

The value of the determinant is equal to the sum of products of main diagonal elements and products of elements lying on the triangles with side which parallel to the main diagonal, from which subtracted the product of the antidiagonal elements and products of elements lying on the triangles with side which parallel to the antidiagonal.

+		–

∆ =

a11 a12 a13 a21 a22 a23 a31 a32 a33

=

=  a₁₁·a₂₂·a₃₃ + a₁₂·a₂₃·a₃₁ + a₁₃·a₂₁·a₃₂ - a₁₃·a₂₂·a₃₁ - a₁₁·a₂₃·a₃₂ - a₁₂·a₂₁·a₃₃

Determinant of n×n matrix

To calculate the determinant of n×n size are often used:

• Expanding on row or column
• Transform matrix to upper triangular form