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Math Formulas > Linear Algebra > Definition of the Determinant

Definition of the Determinant

The determinant of a matrix A is given by the sum of the entries in the first row of A multiplied by their cofactors.



Where the cofactors Cij is given by: Cij = (-1)i+jMij and M is the minor of A.

Note that A must be a square matrix of order 2 or greater.

The determinant of a 2x2 matrix A where,  is given by: det(A) = |A| = ad - bc

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