Leibniz's formula follows from its axiomatic definitions, among which include that it is alternating multilinear. The Wronskian is one, and it can be considered as the volumetric scaling factor arising from applying a linear transformation, a concept that is exemplified by the Jacobian. It is invariant with regard to similarity, and Cramer's rule makes use of them to solve systems of linear equations. For 10 points, name 
Leibniz's formula follows from its axiomatic definitions, among which include that it is alternating multilinear. The Wronskian is one, and it can be considered as the volumetric scaling factor arising from applying a linear transformation, a concept that is exemplified by the Jacobian. It is invariant with regard to similarity, and Cramer's rule makes use of them to solve systems of linear equations. For 10 points, name this type of matrix function, which allows invertibility if it is non-zero.
Leibniz's formula follows from its axiomatic definitions, among which include that it is alternating multilinear.
{determinant}