I just got to know that you can write a determinant made up of with any 9 variables in the following format, \begin{vmatrix} a+m & b+n & c+o \\ p+a & q+b & r+c \\ p+m & q+n & r+o \\ \end{vmatrix} as \begin{array}{ccc} \begin{vmatrix} a & b & c \\ p & q & r \\ m & n & o \\ \end{vmatrix} & + & \begin{vmatrix} m & n & o \\ a & b & c \\ p & q & r \\ \end{vmatrix} \end{array} I've checked that both give the same values. So is there any name or statement for this rule/theorem/property?
2026-04-12 13:31:30.1776000690
Is this some kind of theorem or rule of solving these types of determinants? If yes, what is it's name?
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