Let A = $open square brackets table row 1 0 0 row 2 1 0 row 3 2 1 end table close square brackets$ . If u₁ and u₂ are column matrices such that Au1 = $open square brackets table row 1 row 0 row 0 end table close square brackets$ and Au2 = $open square brackets table row 0 row 1 row 0 end table close square brackets$ , then u₁ +u₂ is equal to

$open square brackets table row cell negative 1 end cell row 1 row 0 end table close square brackets$
$open square brackets table row cell negative 1 end cell row cell space space space 1 end cell row cell negative 1 end cell end table close square brackets$
$open square brackets table row cell negative 1 end cell row cell negative 1 end cell row 0 end table close square brackets$
$open square brackets table row 1 row cell negative 1 end cell row cell negative 1 end cell end table close square brackets$

Solution

open square brackets table row 1 row cell negative 1 end cell row cell negative 1 end cell end table close square brackets

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