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Considere o subespaço V de \mathbb{R}^4 gerado pelos vectores  v_1=\lef...

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Considere o subespaço VV de \mathbb{R}^4\mathbb{R}^4 gerado pelos vectores  v_1=\left[\begin{matrix} 1\\ 1\\0\\ 1\end{matrix}\right] v_1=\left[\begin{matrix} 1\\ 1\\0\\ 1\end{matrix}\right] e   v_2=\left[\begin{matrix} 0\\ 0\\1\\ 0\end{matrix}\right] v_2=\left[\begin{matrix} 0\\ 0\\1\\ 0\end{matrix}\right] .

Uma base de V^\botV^\bot é consituída pelos vectores v_3v_3 e v_4v_4, sendo

v_3=\left[\begin{matrix}a\\1\\0\\1\end{matrix}\right]v_3=\left[\begin{matrix}a\\1\\0\\1\end{matrix}\right]v_4=\left[\begin{matrix}1\\-1\\0\\b\end{matrix}\right]v_4=\left[\begin{matrix}1\\-1\\0\\b\end{matrix}\right] 

Indique os valores de a=a= b=b= .

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