(Steps Shown) Assume that u,v ∈ R^3 and F is a linear transformation from R^3 to R^2 so that
Question: Assume that \(u,v\in {{\mathbb{R}}^{3}}\) and F is a linear transformation from \({{\mathbb{R}}^{3}}\) to \({{\mathbb{R}}^{2}}\) so that
\[\begin{aligned} & F\left( u \right)=\left( \begin{matrix} 1 \\ 1 \\ \end{matrix} \right) \\ & F\left( v \right)=\left( \begin{matrix} 0 \\ 3 \\ \end{matrix} \right) \\ \end{aligned}\]then what is \(F\left( 2u-3v \right)\) ?
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