In linear algebra, the transpose of a linear map between two vector spaces, defined over the same field, is an induced map between the dual spaces of the two vector spaces.
The transpose or algebraic adjoint of a linear map is often used to study the original linear map. This concept is generalised by adjoint functors.
== Definition ==
Let
X
#
{\displaystyle X^{\#}}
denote the algebraic dual space of a vector space
X
.
{\displaystyle X.}
Let...
