Perform one step of row reduction, in order to calculate the values for $x$ and $y$ by back substitution. Then calculate the values for $x$ and for $y$. Also calculate the determinant of the original matrix.

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(Note: since the determinant is unchanged by row reduction it will be easier to calculate the determinant of the row reduced matrix.)

 $\left.\vphantom{\begin{array}{c}\!\strut\\\!\strut\\\!\strut\\\end{array}}\right[$ $-3+i$ $-3+3i$ $\left.\vphantom{\begin{array}{c}\!\strut\\\!\strut\\\!\strut\\\end{array}}\right]$ $0$
 $\left.\vphantom{\begin{array}{c}\!\strut\\\!\strut\\\!\strut\\\end{array}}\right[$ $x$ $\left.\vphantom{\begin{array}{c}\!\strut\\\!\strut\\\!\strut\\\end{array}}\right]$ $y$
$=$
 $\left.\vphantom{\begin{array}{c}\!\strut\\\!\strut\\\!\strut\\\end{array}}\right[$ $-1-13i$ $\left.\vphantom{\begin{array}{c}\!\strut\\\!\strut\\\!\strut\\\end{array}}\right]$

$x =$
$y =$
$\mbox{det} =$

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