Determine Whether {V₁, V₂, V₃} Is a Basis for R³

Multiple Choice

Determine whether {v₁, v₂, v₃} is a basis for R³
- $$B = \left\{ \left[ \begin{array} { r } - 2 \\2\end{array} \right] , \left[ \begin{array} { l } 0 \\1\end{array} \right] \right\} , [ \mathrm { x } ] _ { B } = \left[ \begin{array} { r } - 5 \\5\end{array} \right]$$

A)

$\left[ \begin{array} { r } - 2 \\ 3 \end{array} \right]$

B)
$\left[ \begin{array} { c } 10 \\ - 5 \end{array} \right]$

C)
$\left[ \begin{array} { r } 10 \\ 5 \end{array} \right]$

D)

$\left[ \begin{array} { r } - 10 \\ - 5 \end{array} \right]$