Exercises 33-36: Determine if the given vectors span R³. 33. $a_1 = \begin{bmatrix} 2 \ -1 \ 7 \end{bmatrix}$ 34. $a_1 = \begin{bmatrix} 1 \ 6 \ -5 \end{bmatrix}$, $a_2 = \begin{bmatrix} -2 \ 5 \ 3 \end{bmatrix}$
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The given vectors are: \[ \begin{bmatrix} 2 \\ 3 \\ 3 \end{bmatrix} \quad \begin{bmatrix} 1 \\ 7 \\ 1 \end{bmatrix} \quad \begin{bmatrix} 2 \\ 3 \\ 4 \end{bmatrix} \quad \begin{bmatrix} a \\ 6 \\ a \end{bmatrix} \quad \begin{bmatrix} 5 \\ 3 \\ 3 \end{bmatrix} Show more…
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