] gives the determinant of the square matrix m.
] computes the determinant modulo n.
See the Mathematica book: Section 1.8.3, Section 3.7.7.
See also Implementation NotesA.9.44.27MainBookLinkOldButtonDataA.9.44.27, Implementation NotesA.9.44.29MainBookLinkOldButtonDataA.9.44.29.
See also: Minors, RowReduce, NullSpace, Signature.
This is the determinant of a x matrix.
This is the determinant of the same matrix over the integers modulo 9.
This is the determinant of a 15 x 15 matrix.
This genarates a randomly generated 20 x 20 matrix and times how long that takes. The coefficients of the matrix have 50 digits of precision, and lie in the region of the complex plane defined by -10
This computes the determinant of the matrix and again times the calculation.
This is a different type of matrix. The entries are Gaussian integers with real and imaginary parts between and .
Here is its determinant and how long it takes to calculate it.