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The site engine now allows input of long texts, so this is the first calculator to use this feature; and it is used to enter the matrix, and the calculator computes the determinant of the entered matrix.
It uses determinant definition, which is a recursive calculation, and, in theory, quite resource consuming. Still, for our case, with matrixes entered manually, I believe it is enough (if not, please use Determinant by Gaussian elimination).
Some notes about determinants are below the calculator for those who forgot.
Some recursive formulae:
- determinant of a matrix 1x1
- determinant of a matrix 2x2
- determinant of a matrix nxn, where n > 2
- minor of .
Minor of - is the determinant of a (n–1) × (n–1) matrix that results from deleting the 1-th row and the j-th column of A. That's why this is a recursive definition.
For example, here is the determinant of a matrix 3x3