equation
\begin{matrix}
\text{Treating U as a column to the right of transposed matrix\:  return column}&\columnSubXYZ{V}&=&\matrixTransposeSubXY{A}\columnSubXYZ{U} \\
\text{Treating U as a row to the left of untransposed matrix\: return row}&\rowSubXYZ{V}&=&\rowSubXYZ{U}\matrixXY{A}
\end{matrix}