Matrix Transpose

The transpose is flipped.

\[\M{M}^T=\begin{bmatrix} m_{ 0} & m_{ 1} & m_{ 2} &m_{ 3} \\ m_{ 4} & m_{ 5} & m_{ 6} &m_{ 7} \\ m_{ 8} & m_{ 9} & m_{10} &m_{11} \\ m_{12} & m_{13} & m_{14} &m_{15} \\ \end{bmatrix}\quad(\M{M}^T)^T = \M{M}\]

Transposes also compose on the left.

\[(\M{A}\cdot \M{B})^T=\M{B}^T\cdot \M{A}^T\]