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and the above homogeneous equation becomes
: <math> 0 = a_{11} \, x_{2k} \, y_{1k} - a_{21} \,dsdsdsdsdfererer rer were were er were wrrtwrwerwerwerwqeqweqeqweqwe x_{1k} \, y_{1k} + a_{12} \, x_{2k} \, y_{2k} - a_{22} \, x_{1k} \, y_{2k} + a_{13} \, x_{2k} \, y_{3k} - a_{23} \, x_{1k} \, y_{3k} </math> for <math> \, k = 1, \ldots, N. </math>
This can also be written in the matrix form:
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