system of three equations − s x + s y = 0 r x − y − x z = 0 x y − b z = 0where s , r , and b are given parameters and x , y , z are my three variables. Trouble is the " x z" and the " x y" terms since they are coupled between two different variables. Ignoring those two terms, my matrix equation would read: [ − s s 0 r − 1 ? 0 ? − b ] [ x y z ] = [ 0 0 0 ] Where "?" represents the coupled terms

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system of three equations  −  s  x  +  s  y  =  0  r  x  −  y  −  x  z  =  0  x  y  −  b  z  =  0where   s  ,  r  , and b are given parameters and   x  ,  y  ,  z are my three variables. Trouble is the &quot;  x  z&quot; and the &quot;  x  y&quot; terms since they are coupled between two different variables. Ignoring those two terms, my matrix equation would read:                              [                                                    −                s                                            s                                            0                                                                    r                                            −                1                                            ?                                                                    0                                            ?                                            −                b                                              ]                          [                                                    x                                                                    y                                                                    z                                              ]                =                  [                                                    0                                                                    0                                                                    0                                              ]                    Where &quot;?&quot; represents the coupled terms

jarakapak7 · Accepted Answer

(1)   −  s  x  +  s  y  =  0(2)   r  x  −  y  −  x  z  =  0(3)   x  y  −  b  z  =  0You can try something like this:(1)   →  x  =  y(3)   →  z  =            x      2        b  (2)   →  x  z  =  r  x  −  xAnd continue in the similar manner.

system of three equations − s x + s y = 0 r x

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