we have determinant operation that is like below:
$ det(\begin{bmatrix} a & b & c \\ d & e & f \\ g & h & i \\ \end{bmatrix}) $= $ (-1)^{1+1}a(ei-fh)+ (-1)^{1+2}b(di-fg)+(-1)^{1+3}c(dh-eg) $
Is there any other operation do like below?
$ Operation(\begin{bmatrix} a & b & c \\ d & e & f \\ g & h & i \\ \end{bmatrix}) $= $ a(ei+fh)+ b(di+fg)+c(dh+eg) $
there is not $(-1)^{i+j}$ in it.
Yes, that is the permanent, a not so friendly, but still useful concept.