There are two special functions of operators that play a key role in the theory of linear vector spaces. They are the trace and the determinant of an operator, denoted by Tr(A) and det(A), respecti...There are two special functions of operators that play a key role in the theory of linear vector spaces. They are the trace and the determinant of an operator, denoted by Tr(A) and det(A), respectively. While the trace and determinant are most conveniently evaluated in matrix representation, they are independent of the chosen basis.
