Let W = Span { [ 2 0 − 1 0 ] , [ − 3 1 0 0 ] } . {\displaystyle W={\text{Span }}{\Bigg \{}{\begin{bmatrix}2\\0\\-1\\0\end{bmatrix}},{\begin{bmatrix}-3\\1\\0\\0\end{bmatrix}}{\Bigg \}}.} Is [ 2 6 4 0 ] {\displaystyle {\begin{bmatrix}2\\6\\4\\0\end{bmatrix}}} in W ⊥ ? {\displaystyle W^{\perp }?} Explain.
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