det(..., Strategy => ...) -- choose between Bareiss and Cofactor algorithms

det(..., Strategy => ...) -- choose between Bareiss and Cofactor algorithms

Strategy => Bareiss -- use Bareiss' fraction free determinant algorithm
Strategy => Cofactor -- use cofactor expansion to compute determinants

The base ring determines the default strategy. If the base ring is not a quotient polynomial ring, the Bareiss algorithm is used. If the polynomial ring is a quotient, and the ring has not been declared to be a field, (see toField), then the Cofactor algorithm is used.

Caveat:

The Bareiss algorithm only returns a ring element which differs from the actual determinant by a zero divisor in the ring. Thus, an INCORRECT answer may be computed if the ring contains zero divisors.

For an example, see determinants.

See also:

Default value: null -- nothingness

Function: det -- determinant of a matrix

Option name: Strategy -- specify a computational strategy