Det
Det[m] gives the determinant of the square matrix m.
Examples
Compute determinants:
Det[{{1, 2}, {3, 4}}]
(* -2 *)
Det[{{a, b}, {c, d}}]
(* a d - b c *)
(* 3x3 matrix *)
Det[{{1, 2, 3}, {4, 5, 6}, {7, 8, 9}}]
(* 0 *)Please visit the official Wolfram Language Reference for more details.