icon-Determinante Symbolic calculation of 3x3 determinants

Calculator

The online calculators are to calculate the determinat of 2x2, 3x3, 4x4,... and nxn matrices.

Online Calculators:

Rules for determinant calculations

Online Calculator for Determinant 3x3

The online calculator calculates symbolic the value of the determinant of a 3x3 matrix after Sarrus rule and with the Laplace expansion in a row or column.

Determinant

det A= a11a12a13 a21a22a23 a31a32a33

Enter the coefficients

Brackets has to be set explicit. Not a+b but (a+b) is ok.

a11= a12= a13=

a21= a22= a23=

a31= a32= a33=

Calculation using the Laplace expansion

Laplace Expansion Theorem

The Laplacian development theorem provides a method for calculating the determinant, in which the determinant is developed after a row or column. The dimension is reduced and can be reduced further step by step up to a scalar.

det A= i = 1 n -1 i + j a i j det A i j ( Expansion on the j-th column )

det A= j = 1 n -1 i + j a i j det A i j ( Expansion on the i-th row )

where Aij, the sub-matrix of A, which arises when the i-th row and the j-th column are removed.