The determinant of an n×n matrixaij
is the sum and difference of certain products of the entries. Specifically,
where σ ranges over all the permutations of1, 2,…, n
and
-1
= ±1, depending on whether σ is an even or odd permutation.
Note that this operation applies to square matrices only.
To compute the determinant of a square matrix
, determinant: ad - bc
, determinant:
a1, 1a2, 2a3, 3 - a1, 1a2, 3a3, 2 - a2, 1a1, 2a3, 3 + a2, 1a1, 3a3, 2 + a3, 1a1, 2a2, 3 - a3, 1a1, 3a2, 2
, determinant: -121529
You can also denote the determinant by