Question

$Find space straight x space such space that space space open square brackets table row 1 cell space 1 end cell cell space straight x end cell end table close square brackets space space space open square brackets table row 1 0 2 row 0 2 1 row 2 1 0 end table close square brackets space space open square brackets table row 1 row 1 row 1 end table close square brackets space equals 0$

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Solution

open square brackets table row 1 1 straight x end table close square brackets space space space open square brackets table row 1 0 2 row 0 2 1 row 2 1 0 end table close square brackets space space open square brackets table row 1 row 1 row 1 end table close square brackets space equals 0 rightwards double arrow space open square brackets table row 1 1 straight x end table close square brackets space space space open square brackets table row cell 1 plus end cell cell 0 plus end cell 2 row cell 0 plus end cell cell 2 plus end cell 1 row cell 2 plus end cell cell 1 plus end cell 0 end table close square brackets equals 0 space space space space space space rightwards double arrow space space open square brackets table row 1 1 straight x end table close square brackets space open square brackets table row 3 row 3 row 3 end table close square brackets equals 0 rightwards double arrow space space space open square brackets table row cell 3 plus 3 plus 3 straight x end cell end table close square brackets space space equals space open square brackets table row 0 end table close square brackets space space space space space space space space space space rightwards double arrow space open square brackets 3 straight x plus 6 close square brackets equals open square brackets table row 0 end table close square brackets rightwards double arrow space space space 3 straight x plus 6 equals 0 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space rightwards double arrow space space space 3 straight x minus 6 rightwards double arrow space straight x equals negative 2

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Matrices

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