Transpose of a linear map

See also: Transpose, Dual system § Transposes, and Transpose § Transposes of linear maps and bilinear forms

In linear algebra and functional analysis, the transpose or algebraic adjoint 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 is often used to study the original linear map. This concept is generalised by adjoint functors.

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