Crossing Matrices for $\mathrm{SU}\left(2\right)\mathrm{}$ and $\mathrm{SU}\left(3\right)\mathrm{}$

The $\mathrm{SU}\left(2\right)\mathrm{}$ crossing matrices for the scattering of $I=0, \frac{1}{2}, 1, \frac{3}{2}$ particles and antiparticles, and the $\mathrm{SU}\left(3\right)\mathrm{}$ crossing matrices for the scattering of singlets, octets, and decimets are listed. The $s-t$, $s-u$, and $t-u$ crossing matrices and their inverses are given for each case. The relative phases of the crossing matrix are discussed in detail.