32 denotes the third row and the second column.

Definition of algebraic cofactor

In the determinant D of order n, the element aij (I, j = 1, 2, ... n) is crossed out, and the remaining two elements (n- 1) form the determinant Mij of order n-/kloc-0 in the original order, which is called the remainder of the element AIJ.

computation rule

The symbol (-1) (I+J) on Mij is called the algebraic cofactor of aij, and it is denoted as AIJ = (- 1) (I+J) MIJ.

Is there a plus sign or a symbol in front?

Is to see whether the sum of the number of rows and columns is odd or even.

Add a minus sign before the odd number.

Even plus sign