This is documentation for Mathematica 3, which was
based on an earlier version of the Wolfram Language.
 Det Det[ m ] gives the determinant of the square matrix m. Det[ m , Modulus-> n ] 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. Further Examples This is the determinant of a x matrix. In[1]:= Out[1]= This is the determinant of the same matrix over the integers modulo 9. In[2]:= Out[2]= This is the determinant of a 15 x 15 matrix. In[3]:= Out[3]= 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 < Re(z) < 10, -10 < Im(z) < 10. In[4]:= In[5]:= Out[5]= This computes the determinant of the matrix and again times the calculation. In[6]:= Out[6]= In[7]:= This is a different type of matrix. The entries are Gaussian integers with real and imaginary parts between and . In[8]:= Here is its determinant and how long it takes to calculate it. In[9]:= Out[9]= In[10]:=