#math/linear-algebra The transpose of an $m\text{-by-}n$ matrix $A$ is the the $n\text{-by-}m$ matrix $A^{t}$ where each entry is given by $ (A^{t})_{i,j}=A_{j,i} $ We can also derive that $(A+B)^{t}=A^{t}+B^{t}$ and $(\lambda A)^{t}=\lambda A^{t}$ and $(AC)^{t}=C^{t}A^{t}$.