The online calculator calculates symbolic the value of the determinant of a 5x5 matrix after Sarrus rule and with the Laplace expansion in a row or column.
Brackets has to be set explicit. Not a+b but (a+b) is ok.
You can select the row or column to be used for expansion.
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.
where Aij, the sub-matrix of A, which arises when the i-th row and the j-th column are removed.
The Laplace expansion reduces the NxN determinant to a sum of (N-1)x(N-1) determinants.
Here is a list of of further useful calculators:Index Matrix Determinant Determinant 2x2 Determinant 3x3 Determinant 3x3 symbolic Determinant 4x4 Determinant 4x4 symbolic Determinant 5x5 Determinant NxN