The right expression on line 4 should be:
ξ ^ 1 = [ ξ ^ 1 1 ξ ^ 2 1 ] = [ 1 − i ] . {\displaystyle {\hat {\xi }}^{1}=\left[{\begin{array}{c}{\hat {\xi }}_{1}^{1}\\{\hat {\xi }}_{2}^{1}\end{array}}\right]=\left[{\begin{array}{c}1\\-i\end{array}}\right].}
and the right expression on line 7 should be:
ξ ^ 2 = [ ξ ^ 1 2 ξ ^ 2 2 ] = [ 1 i ] . {\displaystyle {\hat {\xi }}^{2}=\left[{\begin{array}{c}{\hat {\xi }}_{1}^{2}\\{\hat {\xi }}_{2}^{2}\end{array}}\right]=\left[{\begin{array}{c}1\\i\end{array}}\right].}
Return to errata.