What is the determinant of an empty matrix (of size 0 by 0)?

Question

Mathematics

What is the determinant of an empty matrix (of size 0 by 0)?

Answer 1

The definition of a matrix says that the number of rows and columns are natural numbers, that is, integers greater than zero.

Answer 2

zero. the determinant is equal to the sum of all possible products of elements from different rows / columns (well, with signs, there is still a problem). no elements - no members of the sum, that is, the sum is 0

Answer 3

And I would add that there is no empty matrix either (hence, there is no determinant either). The number of rows and columns must be greater than zero. (plus the determinant needs a square matrix)