Matrix transpose
= Matrix transpose
{title2=$A^T$}
{wiki=Transpose}
The matrix transpose interchanges rows and columns: $(A^T)_{ij}=A_{ji}$. On a fixed matrix space, $A\mapsto A^T$ is the <transposition map>, a <linear map> that preserves the <trace norm> but is not completely positive in dimensions greater than one.
= Transposition map
{synonym}